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Finding the Fourth Proportional to 249.42, 374.16 and 229.38

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Solution

The fourth proportional to 249.42, 374.16 and 229.38 is: 344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 374.16 = 229.38 : x
  2. Step 2: Convert to fraction form
    249.42/374.16 = 229.38/x
  3. Step 3: Cross multiply
    249.42x = 374.16 × 229.38
  4. Step 4: Simplify right side
    249.42x = 85,824.82
  5. Step 5: Solve for x
    x = 85,824.82/249.42
  6. Step 6: Final answer
    x = 344.10

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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.