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Finding the Fourth Proportional to 244.36, 337.26 and 178.78

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Solution

The fourth proportional to 244.36, 337.26 and 178.78 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.36 : 337.26 = 178.78 : x
  2. Step 2: Convert to fraction form
    244.36/337.26 = 178.78/x
  3. Step 3: Cross multiply
    244.36x = 337.26 × 178.78
  4. Step 4: Simplify right side
    244.36x = 60,295.34
  5. Step 5: Solve for x
    x = 60,295.34/244.36
  6. Step 6: Final answer
    x = 246.75

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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.