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Finding the Fourth Proportional to 232.54, 320.90 and 139.25

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Solution

The fourth proportional to 232.54, 320.90 and 139.25 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 320.90 = 139.25 : x
  2. Step 2: Convert to fraction form
    232.54/320.90 = 139.25/x
  3. Step 3: Cross multiply
    232.54x = 320.90 × 139.25
  4. Step 4: Simplify right side
    232.54x = 44,685.43
  5. Step 5: Solve for x
    x = 44,685.43/232.54
  6. Step 6: Final answer
    x = 192.16

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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.