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Finding the Fourth Proportional to 166.24, 247.84 and 154.88

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Solution

The fourth proportional to 166.24, 247.84 and 154.88 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 247.84 = 154.88 : x
  2. Step 2: Convert to fraction form
    166.24/247.84 = 154.88/x
  3. Step 3: Cross multiply
    166.24x = 247.84 × 154.88
  4. Step 4: Simplify right side
    166.24x = 38,385.46
  5. Step 5: Solve for x
    x = 38,385.46/166.24
  6. Step 6: Final answer
    x = 230.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.