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Finding the Fourth Proportional to 232.23, 320.53 and 149.41

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Solution

The fourth proportional to 232.23, 320.53 and 149.41 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.23 : 320.53 = 149.41 : x
  2. Step 2: Convert to fraction form
    232.23/320.53 = 149.41/x
  3. Step 3: Cross multiply
    232.23x = 320.53 × 149.41
  4. Step 4: Simplify right side
    232.23x = 47,890.39
  5. Step 5: Solve for x
    x = 47,890.39/232.23
  6. Step 6: Final answer
    x = 206.22

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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.