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Finding the Fourth Proportional to 552.14, 828.14 and 186.86

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Solution

The fourth proportional to 552.14, 828.14 and 186.86 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.14 : 828.14 = 186.86 : x
  2. Step 2: Convert to fraction form
    552.14/828.14 = 186.86/x
  3. Step 3: Cross multiply
    552.14x = 828.14 × 186.86
  4. Step 4: Simplify right side
    552.14x = 154,746.24
  5. Step 5: Solve for x
    x = 154,746.24/552.14
  6. Step 6: Final answer
    x = 280.27

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.