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Finding the Fourth Proportional to 232.35, 320.53 and 149.42

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Solution

The fourth proportional to 232.35, 320.53 and 149.42 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.35 : 320.53 = 149.42 : x
  2. Step 2: Convert to fraction form
    232.35/320.53 = 149.42/x
  3. Step 3: Cross multiply
    232.35x = 320.53 × 149.42
  4. Step 4: Simplify right side
    232.35x = 47,894.39
  5. Step 5: Solve for x
    x = 47,894.39/232.35
  6. Step 6: Final answer
    x = 206.13

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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.