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Finding the Fourth Proportional to 233.18, 321.05 and 198.14

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Solution

The fourth proportional to 233.18, 321.05 and 198.14 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.18 : 321.05 = 198.14 : x
  2. Step 2: Convert to fraction form
    233.18/321.05 = 198.14/x
  3. Step 3: Cross multiply
    233.18x = 321.05 × 198.14
  4. Step 4: Simplify right side
    233.18x = 63,612.85
  5. Step 5: Solve for x
    x = 63,612.85/233.18
  6. Step 6: Final answer
    x = 272.81

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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.