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Finding the Fourth Proportional to 233.10, 349.16 and 198.92

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Solution

The fourth proportional to 233.10, 349.16 and 198.92 is: 297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 349.16 = 198.92 : x
  2. Step 2: Convert to fraction form
    233.10/349.16 = 198.92/x
  3. Step 3: Cross multiply
    233.10x = 349.16 × 198.92
  4. Step 4: Simplify right side
    233.10x = 69,454.91
  5. Step 5: Solve for x
    x = 69,454.91/233.10
  6. Step 6: Final answer
    x = 297.96

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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.