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Finding the Fourth Proportional to 169.26, 254.10 and 135.24

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Solution

The fourth proportional to 169.26, 254.10 and 135.24 is: 203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 254.10 = 135.24 : x
  2. Step 2: Convert to fraction form
    169.26/254.10 = 135.24/x
  3. Step 3: Cross multiply
    169.26x = 254.10 × 135.24
  4. Step 4: Simplify right side
    169.26x = 34,364.48
  5. Step 5: Solve for x
    x = 34,364.48/169.26
  6. Step 6: Final answer
    x = 203.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.