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Finding the Fourth Proportional to 552.98, 829.47 and 187.76

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Solution

The fourth proportional to 552.98, 829.47 and 187.76 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.98 : 829.47 = 187.76 : x
  2. Step 2: Convert to fraction form
    552.98/829.47 = 187.76/x
  3. Step 3: Cross multiply
    552.98x = 829.47 × 187.76
  4. Step 4: Simplify right side
    552.98x = 155,737.14
  5. Step 5: Solve for x
    x = 155,737.14/552.98
  6. Step 6: Final answer
    x = 281.64

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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.