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Finding the Fourth Proportional to 249.32, 374.08 and 162.74

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Solution

The fourth proportional to 249.32, 374.08 and 162.74 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.32 : 374.08 = 162.74 : x
  2. Step 2: Convert to fraction form
    249.32/374.08 = 162.74/x
  3. Step 3: Cross multiply
    249.32x = 374.08 × 162.74
  4. Step 4: Simplify right side
    249.32x = 60,877.78
  5. Step 5: Solve for x
    x = 60,877.78/249.32
  6. Step 6: Final answer
    x = 244.18

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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.