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Finding the Fourth Proportional to 232.71, 346.32 and 224.07

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Solution

The fourth proportional to 232.71, 346.32 and 224.07 is: 333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.71 : 346.32 = 224.07 : x
  2. Step 2: Convert to fraction form
    232.71/346.32 = 224.07/x
  3. Step 3: Cross multiply
    232.71x = 346.32 × 224.07
  4. Step 4: Simplify right side
    232.71x = 77,599.92
  5. Step 5: Solve for x
    x = 77,599.92/232.71
  6. Step 6: Final answer
    x = 333.46

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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.