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Finding the Fourth Proportional to 249.29, 374.08 and 112.34

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Solution

The fourth proportional to 249.29, 374.08 and 112.34 is: 168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.29 : 374.08 = 112.34 : x
  2. Step 2: Convert to fraction form
    249.29/374.08 = 112.34/x
  3. Step 3: Cross multiply
    249.29x = 374.08 × 112.34
  4. Step 4: Simplify right side
    249.29x = 42,024.15
  5. Step 5: Solve for x
    x = 42,024.15/249.29
  6. Step 6: Final answer
    x = 168.58

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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.