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Finding the Fourth Proportional to 206.48, 309.76 and 119.88

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Solution

The fourth proportional to 206.48, 309.76 and 119.88 is: 179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 309.76 = 119.88 : x
  2. Step 2: Convert to fraction form
    206.48/309.76 = 119.88/x
  3. Step 3: Cross multiply
    206.48x = 309.76 × 119.88
  4. Step 4: Simplify right side
    206.48x = 37,135.92
  5. Step 5: Solve for x
    x = 37,135.92/206.48
  6. Step 6: Final answer
    x = 179.85

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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.