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Finding the Fourth Proportional to 166.98, 230.52 and 104.90

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Solution

The fourth proportional to 166.98, 230.52 and 104.90 is: 144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.98 : 230.52 = 104.90 : x
  2. Step 2: Convert to fraction form
    166.98/230.52 = 104.90/x
  3. Step 3: Cross multiply
    166.98x = 230.52 × 104.90
  4. Step 4: Simplify right side
    166.98x = 24,182.12
  5. Step 5: Solve for x
    x = 24,182.12/166.98
  6. Step 6: Final answer
    x = 144.82

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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.