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Finding the Fourth Proportional to 151.80, 227.70 and 113.76

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Solution

The fourth proportional to 151.80, 227.70 and 113.76 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 227.70 = 113.76 : x
  2. Step 2: Convert to fraction form
    151.80/227.70 = 113.76/x
  3. Step 3: Cross multiply
    151.80x = 227.70 × 113.76
  4. Step 4: Simplify right side
    151.80x = 25,903.15
  5. Step 5: Solve for x
    x = 25,903.15/151.80
  6. Step 6: Final answer
    x = 170.64

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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.