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Finding the Fourth Proportional to 552.02, 828.17 and 186.75

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Solution

The fourth proportional to 552.02, 828.17 and 186.75 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.02 : 828.17 = 186.75 : x
  2. Step 2: Convert to fraction form
    552.02/828.17 = 186.75/x
  3. Step 3: Cross multiply
    552.02x = 828.17 × 186.75
  4. Step 4: Simplify right side
    552.02x = 154,660.75
  5. Step 5: Solve for x
    x = 154,660.75/552.02
  6. Step 6: Final answer
    x = 280.17

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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.