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Finding the Fourth Proportional to 232.32, 320.58 and 149.46

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Solution

The fourth proportional to 232.32, 320.58 and 149.46 is: 206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 320.58 = 149.46 : x
  2. Step 2: Convert to fraction form
    232.32/320.58 = 149.46/x
  3. Step 3: Cross multiply
    232.32x = 320.58 × 149.46
  4. Step 4: Simplify right side
    232.32x = 47,913.89
  5. Step 5: Solve for x
    x = 47,913.89/232.32
  6. Step 6: Final answer
    x = 206.24

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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.