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Finding the Fourth Proportional to 207.90, 311.30 and 142.74

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Solution

The fourth proportional to 207.90, 311.30 and 142.74 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.90 : 311.30 = 142.74 : x
  2. Step 2: Convert to fraction form
    207.90/311.30 = 142.74/x
  3. Step 3: Cross multiply
    207.90x = 311.30 × 142.74
  4. Step 4: Simplify right side
    207.90x = 44,434.25
  5. Step 5: Solve for x
    x = 44,434.25/207.90
  6. Step 6: Final answer
    x = 213.73

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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.