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Finding the Fourth Proportional to 250.28, 344.61 and 212.61

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Solution

The fourth proportional to 250.28, 344.61 and 212.61 is: 292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.28 : 344.61 = 212.61 : x
  2. Step 2: Convert to fraction form
    250.28/344.61 = 212.61/x
  3. Step 3: Cross multiply
    250.28x = 344.61 × 212.61
  4. Step 4: Simplify right side
    250.28x = 73,267.53
  5. Step 5: Solve for x
    x = 73,267.53/250.28
  6. Step 6: Final answer
    x = 292.74

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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.