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Finding the Fourth Proportional to 375.20, 562.83 and 101.29

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Solution

The fourth proportional to 375.20, 562.83 and 101.29 is: 151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 562.83 = 101.29 : x
  2. Step 2: Convert to fraction form
    375.20/562.83 = 101.29/x
  3. Step 3: Cross multiply
    375.20x = 562.83 × 101.29
  4. Step 4: Simplify right side
    375.20x = 57,010.47
  5. Step 5: Solve for x
    x = 57,010.47/375.20
  6. Step 6: Final answer
    x = 151.95

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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.