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Finding the Fourth Proportional to 253.28, 349.21 and 206.61

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Solution

The fourth proportional to 253.28, 349.21 and 206.61 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.28 : 349.21 = 206.61 : x
  2. Step 2: Convert to fraction form
    253.28/349.21 = 206.61/x
  3. Step 3: Cross multiply
    253.28x = 349.21 × 206.61
  4. Step 4: Simplify right side
    253.28x = 72,149.23
  5. Step 5: Solve for x
    x = 72,149.23/253.28
  6. Step 6: Final answer
    x = 284.86

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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.