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Finding the Fourth Proportional to 244.66, 337.05 and 205.24

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Solution

The fourth proportional to 244.66, 337.05 and 205.24 is: 282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.66 : 337.05 = 205.24 : x
  2. Step 2: Convert to fraction form
    244.66/337.05 = 205.24/x
  3. Step 3: Cross multiply
    244.66x = 337.05 × 205.24
  4. Step 4: Simplify right side
    244.66x = 69,176.14
  5. Step 5: Solve for x
    x = 69,176.14/244.66
  6. Step 6: Final answer
    x = 282.74

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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.