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Finding the Fourth Proportional to 206.89, 310.27 and 97.13

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Solution

The fourth proportional to 206.89, 310.27 and 97.13 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.89 : 310.27 = 97.13 : x
  2. Step 2: Convert to fraction form
    206.89/310.27 = 97.13/x
  3. Step 3: Cross multiply
    206.89x = 310.27 × 97.13
  4. Step 4: Simplify right side
    206.89x = 30,136.53
  5. Step 5: Solve for x
    x = 30,136.53/206.89
  6. Step 6: Final answer
    x = 145.66

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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.