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Finding the Fourth Proportional to 207.76, 311.55 and 77.71

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Solution

The fourth proportional to 207.76, 311.55 and 77.71 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.76 : 311.55 = 77.71 : x
  2. Step 2: Convert to fraction form
    207.76/311.55 = 77.71/x
  3. Step 3: Cross multiply
    207.76x = 311.55 × 77.71
  4. Step 4: Simplify right side
    207.76x = 24,210.55
  5. Step 5: Solve for x
    x = 24,210.55/207.76
  6. Step 6: Final answer
    x = 116.53

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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.