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Finding the Fourth Proportional to 206.05, 309.05 and 124.87

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Solution

The fourth proportional to 206.05, 309.05 and 124.87 is: 187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 309.05 = 124.87 : x
  2. Step 2: Convert to fraction form
    206.05/309.05 = 124.87/x
  3. Step 3: Cross multiply
    206.05x = 309.05 × 124.87
  4. Step 4: Simplify right side
    206.05x = 38,589.53
  5. Step 5: Solve for x
    x = 38,589.53/206.05
  6. Step 6: Final answer
    x = 187.29

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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.