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Finding the Fourth Proportional to 159.92, 240.10 and 127.44

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Solution

The fourth proportional to 159.92, 240.10 and 127.44 is: 191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 240.10 = 127.44 : x
  2. Step 2: Convert to fraction form
    159.92/240.10 = 127.44/x
  3. Step 3: Cross multiply
    159.92x = 240.10 × 127.44
  4. Step 4: Simplify right side
    159.92x = 30,598.34
  5. Step 5: Solve for x
    x = 30,598.34/159.92
  6. Step 6: Final answer
    x = 191.34

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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.