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Finding the Fourth Proportional to 207.50, 311.14 and 77.52

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Solution

The fourth proportional to 207.50, 311.14 and 77.52 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 311.14 = 77.52 : x
  2. Step 2: Convert to fraction form
    207.50/311.14 = 77.52/x
  3. Step 3: Cross multiply
    207.50x = 311.14 × 77.52
  4. Step 4: Simplify right side
    207.50x = 24,120.84
  5. Step 5: Solve for x
    x = 24,120.84/207.50
  6. Step 6: Final answer
    x = 116.25

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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.