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Finding the Fourth Proportional to 233.20, 321.79 and 139.95

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Solution

The fourth proportional to 233.20, 321.79 and 139.95 is: 193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 321.79 = 139.95 : x
  2. Step 2: Convert to fraction form
    233.20/321.79 = 139.95/x
  3. Step 3: Cross multiply
    233.20x = 321.79 × 139.95
  4. Step 4: Simplify right side
    233.20x = 45,032.90
  5. Step 5: Solve for x
    x = 45,032.90/233.20
  6. Step 6: Final answer
    x = 193.11

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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.