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Finding the Fourth Proportional to 159.16, 238.52 and 104.20

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Solution

The fourth proportional to 159.16, 238.52 and 104.20 is: 156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.16 : 238.52 = 104.20 : x
  2. Step 2: Convert to fraction form
    159.16/238.52 = 104.20/x
  3. Step 3: Cross multiply
    159.16x = 238.52 × 104.20
  4. Step 4: Simplify right side
    159.16x = 24,853.78
  5. Step 5: Solve for x
    x = 24,853.78/159.16
  6. Step 6: Final answer
    x = 156.16

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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.