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Finding the Fourth Proportional to 238.34, 354.97 and 224.38

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Solution

The fourth proportional to 238.34, 354.97 and 224.38 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.34 : 354.97 = 224.38 : x
  2. Step 2: Convert to fraction form
    238.34/354.97 = 224.38/x
  3. Step 3: Cross multiply
    238.34x = 354.97 × 224.38
  4. Step 4: Simplify right side
    238.34x = 79,648.17
  5. Step 5: Solve for x
    x = 79,648.17/238.34
  6. Step 6: Final answer
    x = 334.18

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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.