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Finding the Fourth Proportional to 207.66, 311.14 and 146.61

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Solution

The fourth proportional to 207.66, 311.14 and 146.61 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 311.14 = 146.61 : x
  2. Step 2: Convert to fraction form
    207.66/311.14 = 146.61/x
  3. Step 3: Cross multiply
    207.66x = 311.14 × 146.61
  4. Step 4: Simplify right side
    207.66x = 45,616.42
  5. Step 5: Solve for x
    x = 45,616.42/207.66
  6. Step 6: Final answer
    x = 219.66

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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.