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Finding the Fourth Proportional to 206.82, 309.96 and 158.76

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Solution

The fourth proportional to 206.82, 309.96 and 158.76 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 309.96 = 158.76 : x
  2. Step 2: Convert to fraction form
    206.82/309.96 = 158.76/x
  3. Step 3: Cross multiply
    206.82x = 309.96 × 158.76
  4. Step 4: Simplify right side
    206.82x = 49,209.25
  5. Step 5: Solve for x
    x = 49,209.25/206.82
  6. Step 6: Final answer
    x = 237.93

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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.