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Finding the Fourth Proportional to 232.27, 320.49 and 149.35

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Solution

The fourth proportional to 232.27, 320.49 and 149.35 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.27 : 320.49 = 149.35 : x
  2. Step 2: Convert to fraction form
    232.27/320.49 = 149.35/x
  3. Step 3: Cross multiply
    232.27x = 320.49 × 149.35
  4. Step 4: Simplify right side
    232.27x = 47,865.18
  5. Step 5: Solve for x
    x = 47,865.18/232.27
  6. Step 6: Final answer
    x = 206.08

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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.