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Finding the Fourth Proportional to 233.31, 349.56 and 198.75

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Solution

The fourth proportional to 233.31, 349.56 and 198.75 is: 297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.31 : 349.56 = 198.75 : x
  2. Step 2: Convert to fraction form
    233.31/349.56 = 198.75/x
  3. Step 3: Cross multiply
    233.31x = 349.56 × 198.75
  4. Step 4: Simplify right side
    233.31x = 69,475.05
  5. Step 5: Solve for x
    x = 69,475.05/233.31
  6. Step 6: Final answer
    x = 297.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.