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Finding the Fourth Proportional to 206.48, 285 and 127.82

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Solution

The fourth proportional to 206.48, 285 and 127.82 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 285 = 127.82 : x
  2. Step 2: Convert to fraction form
    206.48/285 = 127.82/x
  3. Step 3: Cross multiply
    206.48x = 285 × 127.82
  4. Step 4: Simplify right side
    206.48x = 36,428.70
  5. Step 5: Solve for x
    x = 36,428.70/206.48
  6. Step 6: Final answer
    x = 176.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.