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Finding the Fourth Proportional to 232.42, 320.84 and 149.53

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Solution

The fourth proportional to 232.42, 320.84 and 149.53 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 320.84 = 149.53 : x
  2. Step 2: Convert to fraction form
    232.42/320.84 = 149.53/x
  3. Step 3: Cross multiply
    232.42x = 320.84 × 149.53
  4. Step 4: Simplify right side
    232.42x = 47,975.21
  5. Step 5: Solve for x
    x = 47,975.21/232.42
  6. Step 6: Final answer
    x = 206.42

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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.