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Finding the Fourth Proportional to 232.74, 347.74 and 224.66

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Solution

The fourth proportional to 232.74, 347.74 and 224.66 is: 335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.74 : 347.74 = 224.66 : x
  2. Step 2: Convert to fraction form
    232.74/347.74 = 224.66/x
  3. Step 3: Cross multiply
    232.74x = 347.74 × 224.66
  4. Step 4: Simplify right side
    232.74x = 78,123.58
  5. Step 5: Solve for x
    x = 78,123.58/232.74
  6. Step 6: Final answer
    x = 335.67

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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.