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Finding the Fourth Proportional to 232.06, 320.37 and 149.24

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Solution

The fourth proportional to 232.06, 320.37 and 149.24 is: 206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.06 : 320.37 = 149.24 : x
  2. Step 2: Convert to fraction form
    232.06/320.37 = 149.24/x
  3. Step 3: Cross multiply
    232.06x = 320.37 × 149.24
  4. Step 4: Simplify right side
    232.06x = 47,812.02
  5. Step 5: Solve for x
    x = 47,812.02/232.06
  6. Step 6: Final answer
    x = 206.03

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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.