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Finding the Fourth Proportional to 372.78, 559.14 and 167.25

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Solution

The fourth proportional to 372.78, 559.14 and 167.25 is: 250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.78 : 559.14 = 167.25 : x
  2. Step 2: Convert to fraction form
    372.78/559.14 = 167.25/x
  3. Step 3: Cross multiply
    372.78x = 559.14 × 167.25
  4. Step 4: Simplify right side
    372.78x = 93,516.17
  5. Step 5: Solve for x
    x = 93,516.17/372.78
  6. Step 6: Final answer
    x = 250.86

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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.