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Finding the Fourth Proportional to 151.80, 227.70 and 130.68

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Solution

The fourth proportional to 151.80, 227.70 and 130.68 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 227.70 = 130.68 : x
  2. Step 2: Convert to fraction form
    151.80/227.70 = 130.68/x
  3. Step 3: Cross multiply
    151.80x = 227.70 × 130.68
  4. Step 4: Simplify right side
    151.80x = 29,755.84
  5. Step 5: Solve for x
    x = 29,755.84/151.80
  6. Step 6: Final answer
    x = 196.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.