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Finding the Fourth Proportional to 254.46, 351.24 and 167.16

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Solution

The fourth proportional to 254.46, 351.24 and 167.16 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.46 : 351.24 = 167.16 : x
  2. Step 2: Convert to fraction form
    254.46/351.24 = 167.16/x
  3. Step 3: Cross multiply
    254.46x = 351.24 × 167.16
  4. Step 4: Simplify right side
    254.46x = 58,713.28
  5. Step 5: Solve for x
    x = 58,713.28/254.46
  6. Step 6: Final answer
    x = 230.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.