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Finding the Fourth Proportional to 232.16, 320.38 and 149.24

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Solution

The fourth proportional to 232.16, 320.38 and 149.24 is: 205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.16 : 320.38 = 149.24 : x
  2. Step 2: Convert to fraction form
    232.16/320.38 = 149.24/x
  3. Step 3: Cross multiply
    232.16x = 320.38 × 149.24
  4. Step 4: Simplify right side
    232.16x = 47,813.51
  5. Step 5: Solve for x
    x = 47,813.51/232.16
  6. Step 6: Final answer
    x = 205.95

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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.