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Finding the Fourth Proportional to 244.78, 337.85 and 145.22

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Solution

The fourth proportional to 244.78, 337.85 and 145.22 is: 200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.78 : 337.85 = 145.22 : x
  2. Step 2: Convert to fraction form
    244.78/337.85 = 145.22/x
  3. Step 3: Cross multiply
    244.78x = 337.85 × 145.22
  4. Step 4: Simplify right side
    244.78x = 49,060.16
  5. Step 5: Solve for x
    x = 49,060.16/244.78
  6. Step 6: Final answer
    x = 200.43

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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.