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Finding the Fourth Proportional to 206.91, 310.17 and 78.75

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Solution

The fourth proportional to 206.91, 310.17 and 78.75 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 310.17 = 78.75 : x
  2. Step 2: Convert to fraction form
    206.91/310.17 = 78.75/x
  3. Step 3: Cross multiply
    206.91x = 310.17 × 78.75
  4. Step 4: Simplify right side
    206.91x = 24,424.34
  5. Step 5: Solve for x
    x = 24,424.34/206.91
  6. Step 6: Final answer
    x = 118.05

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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.