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Finding the Fourth Proportional to 169.58, 253.92 and 138.80

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Solution

The fourth proportional to 169.58, 253.92 and 138.80 is: 207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.58 : 253.92 = 138.80 : x
  2. Step 2: Convert to fraction form
    169.58/253.92 = 138.80/x
  3. Step 3: Cross multiply
    169.58x = 253.92 × 138.80
  4. Step 4: Simplify right side
    169.58x = 35,244.10
  5. Step 5: Solve for x
    x = 35,244.10/169.58
  6. Step 6: Final answer
    x = 207.83

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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.