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Finding the Fourth Proportional to 169.14, 253.84 and 115.14

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Solution

The fourth proportional to 169.14, 253.84 and 115.14 is: 172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 253.84 = 115.14 : x
  2. Step 2: Convert to fraction form
    169.14/253.84 = 115.14/x
  3. Step 3: Cross multiply
    169.14x = 253.84 × 115.14
  4. Step 4: Simplify right side
    169.14x = 29,227.14
  5. Step 5: Solve for x
    x = 29,227.14/169.14
  6. Step 6: Final answer
    x = 172.80

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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.