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Finding the Fourth Proportional to 249.40, 374.14 and 127.64

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Solution

The fourth proportional to 249.40, 374.14 and 127.64 is: 191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.40 : 374.14 = 127.64 : x
  2. Step 2: Convert to fraction form
    249.40/374.14 = 127.64/x
  3. Step 3: Cross multiply
    249.40x = 374.14 × 127.64
  4. Step 4: Simplify right side
    249.40x = 47,755.23
  5. Step 5: Solve for x
    x = 47,755.23/249.40
  6. Step 6: Final answer
    x = 191.48

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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.