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Finding the Fourth Proportional to 552.98, 829.58 and 187.76

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Solution

The fourth proportional to 552.98, 829.58 and 187.76 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.98 : 829.58 = 187.76 : x
  2. Step 2: Convert to fraction form
    552.98/829.58 = 187.76/x
  3. Step 3: Cross multiply
    552.98x = 829.58 × 187.76
  4. Step 4: Simplify right side
    552.98x = 155,761.94
  5. Step 5: Solve for x
    x = 155,761.94/552.98
  6. Step 6: Final answer
    x = 281.68

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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.