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Finding the Fourth Proportional to 224.05, 308.82 and 177.34

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Solution

The fourth proportional to 224.05, 308.82 and 177.34 is: 244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.05 : 308.82 = 177.34 : x
  2. Step 2: Convert to fraction form
    224.05/308.82 = 177.34/x
  3. Step 3: Cross multiply
    224.05x = 308.82 × 177.34
  4. Step 4: Simplify right side
    224.05x = 54,766.14
  5. Step 5: Solve for x
    x = 54,766.14/224.05
  6. Step 6: Final answer
    x = 244.44

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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.