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Finding the Fourth Proportional to 375.07, 562.28 and 166.68

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Solution

The fourth proportional to 375.07, 562.28 and 166.68 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.07 : 562.28 = 166.68 : x
  2. Step 2: Convert to fraction form
    375.07/562.28 = 166.68/x
  3. Step 3: Cross multiply
    375.07x = 562.28 × 166.68
  4. Step 4: Simplify right side
    375.07x = 93,720.83
  5. Step 5: Solve for x
    x = 93,720.83/375.07
  6. Step 6: Final answer
    x = 249.88

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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.