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Finding the Fourth Proportional to 170.68, 255.90 and 138.76

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Solution

The fourth proportional to 170.68, 255.90 and 138.76 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.68 : 255.90 = 138.76 : x
  2. Step 2: Convert to fraction form
    170.68/255.90 = 138.76/x
  3. Step 3: Cross multiply
    170.68x = 255.90 × 138.76
  4. Step 4: Simplify right side
    170.68x = 35,508.68
  5. Step 5: Solve for x
    x = 35,508.68/170.68
  6. Step 6: Final answer
    x = 208.04

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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.