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Finding the Fourth Proportional to 232.48, 320.67 and 149.46

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Solution

The fourth proportional to 232.48, 320.67 and 149.46 is: 206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.48 : 320.67 = 149.46 : x
  2. Step 2: Convert to fraction form
    232.48/320.67 = 149.46/x
  3. Step 3: Cross multiply
    232.48x = 320.67 × 149.46
  4. Step 4: Simplify right side
    232.48x = 47,927.34
  5. Step 5: Solve for x
    x = 47,927.34/232.48
  6. Step 6: Final answer
    x = 206.16

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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.