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Finding the Fourth Proportional to 232.90, 321.54 and 154.24

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Solution

The fourth proportional to 232.90, 321.54 and 154.24 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.90 : 321.54 = 154.24 : x
  2. Step 2: Convert to fraction form
    232.90/321.54 = 154.24/x
  3. Step 3: Cross multiply
    232.90x = 321.54 × 154.24
  4. Step 4: Simplify right side
    232.90x = 49,594.33
  5. Step 5: Solve for x
    x = 49,594.33/232.90
  6. Step 6: Final answer
    x = 212.94

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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.