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Finding the Fourth Proportional to 254.79, 351.68 and 166.38

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Solution

The fourth proportional to 254.79, 351.68 and 166.38 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.79 : 351.68 = 166.38 : x
  2. Step 2: Convert to fraction form
    254.79/351.68 = 166.38/x
  3. Step 3: Cross multiply
    254.79x = 351.68 × 166.38
  4. Step 4: Simplify right side
    254.79x = 58,511.69
  5. Step 5: Solve for x
    x = 58,511.69/254.79
  6. Step 6: Final answer
    x = 229.65

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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.