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Finding the Fourth Proportional to 552.87, 829 and 187.54

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Solution

The fourth proportional to 552.87, 829 and 187.54 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.87 : 829 = 187.54 : x
  2. Step 2: Convert to fraction form
    552.87/829 = 187.54/x
  3. Step 3: Cross multiply
    552.87x = 829 × 187.54
  4. Step 4: Simplify right side
    552.87x = 155,470.66
  5. Step 5: Solve for x
    x = 155,470.66/552.87
  6. Step 6: Final answer
    x = 281.21

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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.