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Finding the Fourth Proportional to 159.48, 238.68 and 98.76

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Solution

The fourth proportional to 159.48, 238.68 and 98.76 is: 147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 238.68 = 98.76 : x
  2. Step 2: Convert to fraction form
    159.48/238.68 = 98.76/x
  3. Step 3: Cross multiply
    159.48x = 238.68 × 98.76
  4. Step 4: Simplify right side
    159.48x = 23,572.04
  5. Step 5: Solve for x
    x = 23,572.04/159.48
  6. Step 6: Final answer
    x = 147.81

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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.