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Finding the Fourth Proportional to 166.30, 229.24 and 145.78

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Solution

The fourth proportional to 166.30, 229.24 and 145.78 is: 200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 229.24 = 145.78 : x
  2. Step 2: Convert to fraction form
    166.30/229.24 = 145.78/x
  3. Step 3: Cross multiply
    166.30x = 229.24 × 145.78
  4. Step 4: Simplify right side
    166.30x = 33,418.61
  5. Step 5: Solve for x
    x = 33,418.61/166.30
  6. Step 6: Final answer
    x = 200.95

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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.