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Finding the Fourth Proportional to 206.47, 284.88 and 203.23

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Solution

The fourth proportional to 206.47, 284.88 and 203.23 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.47 : 284.88 = 203.23 : x
  2. Step 2: Convert to fraction form
    206.47/284.88 = 203.23/x
  3. Step 3: Cross multiply
    206.47x = 284.88 × 203.23
  4. Step 4: Simplify right side
    206.47x = 57,896.16
  5. Step 5: Solve for x
    x = 57,896.16/206.47
  6. Step 6: Final answer
    x = 280.41

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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.