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Finding the Fourth Proportional to 176.76, 243.92 and 106.78

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Solution

The fourth proportional to 176.76, 243.92 and 106.78 is: 147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.76 : 243.92 = 106.78 : x
  2. Step 2: Convert to fraction form
    176.76/243.92 = 106.78/x
  3. Step 3: Cross multiply
    176.76x = 243.92 × 106.78
  4. Step 4: Simplify right side
    176.76x = 26,046.71
  5. Step 5: Solve for x
    x = 26,046.71/176.76
  6. Step 6: Final answer
    x = 147.35

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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.