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Finding the Fourth Proportional to 206.38, 309.29 and 78.06

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Solution

The fourth proportional to 206.38, 309.29 and 78.06 is: 116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 309.29 = 78.06 : x
  2. Step 2: Convert to fraction form
    206.38/309.29 = 78.06/x
  3. Step 3: Cross multiply
    206.38x = 309.29 × 78.06
  4. Step 4: Simplify right side
    206.38x = 24,143.18
  5. Step 5: Solve for x
    x = 24,143.18/206.38
  6. Step 6: Final answer
    x = 116.98

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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.