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Finding the Fourth Proportional to 206.49, 308.31 and 176.04

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Solution

The fourth proportional to 206.49, 308.31 and 176.04 is: 262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 308.31 = 176.04 : x
  2. Step 2: Convert to fraction form
    206.49/308.31 = 176.04/x
  3. Step 3: Cross multiply
    206.49x = 308.31 × 176.04
  4. Step 4: Simplify right side
    206.49x = 54,273.57
  5. Step 5: Solve for x
    x = 54,273.57/206.49
  6. Step 6: Final answer
    x = 262.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.