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Finding the Fourth Proportional to 233.06, 321.58 and 139.78

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Solution

The fourth proportional to 233.06, 321.58 and 139.78 is: 192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 321.58 = 139.78 : x
  2. Step 2: Convert to fraction form
    233.06/321.58 = 139.78/x
  3. Step 3: Cross multiply
    233.06x = 321.58 × 139.78
  4. Step 4: Simplify right side
    233.06x = 44,949.30
  5. Step 5: Solve for x
    x = 44,949.30/233.06
  6. Step 6: Final answer
    x = 192.86

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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.