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Finding the Fourth Proportional to 375.03, 562.14 and 169.47

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Solution

The fourth proportional to 375.03, 562.14 and 169.47 is: 254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.03 : 562.14 = 169.47 : x
  2. Step 2: Convert to fraction form
    375.03/562.14 = 169.47/x
  3. Step 3: Cross multiply
    375.03x = 562.14 × 169.47
  4. Step 4: Simplify right side
    375.03x = 95,265.87
  5. Step 5: Solve for x
    x = 95,265.87/375.03
  6. Step 6: Final answer
    x = 254.02

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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.