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Finding the Fourth Proportional to 552.15, 828.23 and 186.94

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Solution

The fourth proportional to 552.15, 828.23 and 186.94 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.15 : 828.23 = 186.94 : x
  2. Step 2: Convert to fraction form
    552.15/828.23 = 186.94/x
  3. Step 3: Cross multiply
    552.15x = 828.23 × 186.94
  4. Step 4: Simplify right side
    552.15x = 154,832.02
  5. Step 5: Solve for x
    x = 154,832.02/552.15
  6. Step 6: Final answer
    x = 280.42

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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.