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Finding the Fourth Proportional to 249.49, 374.29 and 76.16

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Solution

The fourth proportional to 249.49, 374.29 and 76.16 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.49 : 374.29 = 76.16 : x
  2. Step 2: Convert to fraction form
    249.49/374.29 = 76.16/x
  3. Step 3: Cross multiply
    249.49x = 374.29 × 76.16
  4. Step 4: Simplify right side
    249.49x = 28,505.93
  5. Step 5: Solve for x
    x = 28,505.93/249.49
  6. Step 6: Final answer
    x = 114.26

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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.