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Finding the Fourth Proportional to 167.46, 250.90 and 146.66

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Solution

The fourth proportional to 167.46, 250.90 and 146.66 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.46 : 250.90 = 146.66 : x
  2. Step 2: Convert to fraction form
    167.46/250.90 = 146.66/x
  3. Step 3: Cross multiply
    167.46x = 250.90 × 146.66
  4. Step 4: Simplify right side
    167.46x = 36,797.82
  5. Step 5: Solve for x
    x = 36,797.82/167.46
  6. Step 6: Final answer
    x = 219.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.