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Finding the Fourth Proportional to 206.79, 310.16 and 76.76

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Solution

The fourth proportional to 206.79, 310.16 and 76.76 is: 115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.79 : 310.16 = 76.76 : x
  2. Step 2: Convert to fraction form
    206.79/310.16 = 76.76/x
  3. Step 3: Cross multiply
    206.79x = 310.16 × 76.76
  4. Step 4: Simplify right side
    206.79x = 23,808.85
  5. Step 5: Solve for x
    x = 23,808.85/206.79
  6. Step 6: Final answer
    x = 115.14

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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.