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Finding the Fourth Proportional to 249.68, 374.28 and 105.32

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Solution

The fourth proportional to 249.68, 374.28 and 105.32 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.68 : 374.28 = 105.32 : x
  2. Step 2: Convert to fraction form
    249.68/374.28 = 105.32/x
  3. Step 3: Cross multiply
    249.68x = 374.28 × 105.32
  4. Step 4: Simplify right side
    249.68x = 39,419.17
  5. Step 5: Solve for x
    x = 39,419.17/249.68
  6. Step 6: Final answer
    x = 157.88

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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.