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Finding the Fourth Proportional to 206.34, 309.42 and 78

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Solution

The fourth proportional to 206.34, 309.42 and 78 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 309.42 = 78 : x
  2. Step 2: Convert to fraction form
    206.34/309.42 = 78/x
  3. Step 3: Cross multiply
    206.34x = 309.42 × 78
  4. Step 4: Simplify right side
    206.34x = 24,134.76
  5. Step 5: Solve for x
    x = 24,134.76/206.34
  6. Step 6: Final answer
    x = 116.97

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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.