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Finding the Fourth Proportional to 169.43, 254.03 and 100.78

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Solution

The fourth proportional to 169.43, 254.03 and 100.78 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.43 : 254.03 = 100.78 : x
  2. Step 2: Convert to fraction form
    169.43/254.03 = 100.78/x
  3. Step 3: Cross multiply
    169.43x = 254.03 × 100.78
  4. Step 4: Simplify right side
    169.43x = 25,600.00
  5. Step 5: Solve for x
    x = 25,600.00/169.43
  6. Step 6: Final answer
    x = 151.10

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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.