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Finding the Fourth Proportional to 244.53, 337.59 and 161.78

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Solution

The fourth proportional to 244.53, 337.59 and 161.78 is: 223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.53 : 337.59 = 161.78 : x
  2. Step 2: Convert to fraction form
    244.53/337.59 = 161.78/x
  3. Step 3: Cross multiply
    244.53x = 337.59 × 161.78
  4. Step 4: Simplify right side
    244.53x = 54,613.62
  5. Step 5: Solve for x
    x = 54,613.62/244.53
  6. Step 6: Final answer
    x = 223.34

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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.