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Finding the Fourth Proportional to 552.69, 829.10 and 187.74

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Solution

The fourth proportional to 552.69, 829.10 and 187.74 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.69 : 829.10 = 187.74 : x
  2. Step 2: Convert to fraction form
    552.69/829.10 = 187.74/x
  3. Step 3: Cross multiply
    552.69x = 829.10 × 187.74
  4. Step 4: Simplify right side
    552.69x = 155,655.23
  5. Step 5: Solve for x
    x = 155,655.23/552.69
  6. Step 6: Final answer
    x = 281.63

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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.