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Finding the Fourth Proportional to 159.08, 238.10 and 139.72

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Solution

The fourth proportional to 159.08, 238.10 and 139.72 is: 209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.08 : 238.10 = 139.72 : x
  2. Step 2: Convert to fraction form
    159.08/238.10 = 139.72/x
  3. Step 3: Cross multiply
    159.08x = 238.10 × 139.72
  4. Step 4: Simplify right side
    159.08x = 33,265.44
  5. Step 5: Solve for x
    x = 33,265.44/159.08
  6. Step 6: Final answer
    x = 209.11

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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.