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Finding the Fourth Proportional to 552.68, 829.12 and 187.45

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Solution

The fourth proportional to 552.68, 829.12 and 187.45 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.68 : 829.12 = 187.45 : x
  2. Step 2: Convert to fraction form
    552.68/829.12 = 187.45/x
  3. Step 3: Cross multiply
    552.68x = 829.12 × 187.45
  4. Step 4: Simplify right side
    552.68x = 155,418.54
  5. Step 5: Solve for x
    x = 155,418.54/552.68
  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.