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Finding the Fourth Proportional to 206.10, 309.52 and 137.66

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Solution

The fourth proportional to 206.10, 309.52 and 137.66 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 309.52 = 137.66 : x
  2. Step 2: Convert to fraction form
    206.10/309.52 = 137.66/x
  3. Step 3: Cross multiply
    206.10x = 309.52 × 137.66
  4. Step 4: Simplify right side
    206.10x = 42,608.52
  5. Step 5: Solve for x
    x = 42,608.52/206.10
  6. Step 6: Final answer
    x = 206.74

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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.