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Finding the Fourth Proportional to 151.18, 225.70 and 116.76

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Solution

The fourth proportional to 151.18, 225.70 and 116.76 is: 174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 225.70 = 116.76 : x
  2. Step 2: Convert to fraction form
    151.18/225.70 = 116.76/x
  3. Step 3: Cross multiply
    151.18x = 225.70 × 116.76
  4. Step 4: Simplify right side
    151.18x = 26,352.73
  5. Step 5: Solve for x
    x = 26,352.73/151.18
  6. Step 6: Final answer
    x = 174.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.