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Finding the Fourth Proportional to 232.49, 320.65 and 149.60

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Solution

The fourth proportional to 232.49, 320.65 and 149.60 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 320.65 = 149.60 : x
  2. Step 2: Convert to fraction form
    232.49/320.65 = 149.60/x
  3. Step 3: Cross multiply
    232.49x = 320.65 × 149.60
  4. Step 4: Simplify right side
    232.49x = 47,969.24
  5. Step 5: Solve for x
    x = 47,969.24/232.49
  6. Step 6: Final answer
    x = 206.33

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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.