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Finding the Fourth Proportional to 169.12, 254.72 and 154.32

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Solution

The fourth proportional to 169.12, 254.72 and 154.32 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.12 : 254.72 = 154.32 : x
  2. Step 2: Convert to fraction form
    169.12/254.72 = 154.32/x
  3. Step 3: Cross multiply
    169.12x = 254.72 × 154.32
  4. Step 4: Simplify right side
    169.12x = 39,308.39
  5. Step 5: Solve for x
    x = 39,308.39/169.12
  6. Step 6: Final answer
    x = 232.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.