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Finding the Fourth Proportional to 177.62, 244.92 and 112.04

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Solution

The fourth proportional to 177.62, 244.92 and 112.04 is: 154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.62 : 244.92 = 112.04 : x
  2. Step 2: Convert to fraction form
    177.62/244.92 = 112.04/x
  3. Step 3: Cross multiply
    177.62x = 244.92 × 112.04
  4. Step 4: Simplify right side
    177.62x = 27,440.84
  5. Step 5: Solve for x
    x = 27,440.84/177.62
  6. Step 6: Final answer
    x = 154.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.