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Finding the Fourth Proportional to 166.78, 230.16 and 101.26

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Solution

The fourth proportional to 166.78, 230.16 and 101.26 is: 139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 230.16 = 101.26 : x
  2. Step 2: Convert to fraction form
    166.78/230.16 = 101.26/x
  3. Step 3: Cross multiply
    166.78x = 230.16 × 101.26
  4. Step 4: Simplify right side
    166.78x = 23,306.00
  5. Step 5: Solve for x
    x = 23,306.00/166.78
  6. Step 6: Final answer
    x = 139.74

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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.