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Finding the Fourth Proportional to 207.55, 311.24 and 77.50

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Solution

The fourth proportional to 207.55, 311.24 and 77.50 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.55 : 311.24 = 77.50 : x
  2. Step 2: Convert to fraction form
    207.55/311.24 = 77.50/x
  3. Step 3: Cross multiply
    207.55x = 311.24 × 77.50
  4. Step 4: Simplify right side
    207.55x = 24,121.25
  5. Step 5: Solve for x
    x = 24,121.25/207.55
  6. Step 6: Final answer
    x = 116.22

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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.