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Finding the Fourth Proportional to 254.66, 351.33 and 166.11

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Solution

The fourth proportional to 254.66, 351.33 and 166.11 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.66 : 351.33 = 166.11 : x
  2. Step 2: Convert to fraction form
    254.66/351.33 = 166.11/x
  3. Step 3: Cross multiply
    254.66x = 351.33 × 166.11
  4. Step 4: Simplify right side
    254.66x = 58,360.75
  5. Step 5: Solve for x
    x = 58,360.75/254.66
  6. Step 6: Final answer
    x = 229.17

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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.