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Finding the Fourth Proportional to 169.64, 254.52 and 142.48

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Solution

The fourth proportional to 169.64, 254.52 and 142.48 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.64 : 254.52 = 142.48 : x
  2. Step 2: Convert to fraction form
    169.64/254.52 = 142.48/x
  3. Step 3: Cross multiply
    169.64x = 254.52 × 142.48
  4. Step 4: Simplify right side
    169.64x = 36,264.01
  5. Step 5: Solve for x
    x = 36,264.01/169.64
  6. Step 6: Final answer
    x = 213.77

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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.