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Finding the Fourth Proportional to 206.14, 309.18 and 77.89

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Solution

The fourth proportional to 206.14, 309.18 and 77.89 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.14 : 309.18 = 77.89 : x
  2. Step 2: Convert to fraction form
    206.14/309.18 = 77.89/x
  3. Step 3: Cross multiply
    206.14x = 309.18 × 77.89
  4. Step 4: Simplify right side
    206.14x = 24,082.03
  5. Step 5: Solve for x
    x = 24,082.03/206.14
  6. Step 6: Final answer
    x = 116.82

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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.