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Finding the Fourth Proportional to 224.33, 335.20 and 178.20

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Solution

The fourth proportional to 224.33, 335.20 and 178.20 is: 266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 335.20 = 178.20 : x
  2. Step 2: Convert to fraction form
    224.33/335.20 = 178.20/x
  3. Step 3: Cross multiply
    224.33x = 335.20 × 178.20
  4. Step 4: Simplify right side
    224.33x = 59,732.64
  5. Step 5: Solve for x
    x = 59,732.64/224.33
  6. Step 6: Final answer
    x = 266.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.