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Finding the Fourth Proportional to 159.98, 240.19 and 105.14

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Solution

The fourth proportional to 159.98, 240.19 and 105.14 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 240.19 = 105.14 : x
  2. Step 2: Convert to fraction form
    159.98/240.19 = 105.14/x
  3. Step 3: Cross multiply
    159.98x = 240.19 × 105.14
  4. Step 4: Simplify right side
    159.98x = 25,253.91
  5. Step 5: Solve for x
    x = 25,253.91/159.98
  6. Step 6: Final answer
    x = 157.86

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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.