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Finding the Fourth Proportional to 206.04, 284.43 and 127.37

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Solution

The fourth proportional to 206.04, 284.43 and 127.37 is: 175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 284.43 = 127.37 : x
  2. Step 2: Convert to fraction form
    206.04/284.43 = 127.37/x
  3. Step 3: Cross multiply
    206.04x = 284.43 × 127.37
  4. Step 4: Simplify right side
    206.04x = 36,227.85
  5. Step 5: Solve for x
    x = 36,227.85/206.04
  6. Step 6: Final answer
    x = 175.83

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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.