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Finding the Fourth Proportional to 233.10, 348.84 and 196.92

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Solution

The fourth proportional to 233.10, 348.84 and 196.92 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 348.84 = 196.92 : x
  2. Step 2: Convert to fraction form
    233.10/348.84 = 196.92/x
  3. Step 3: Cross multiply
    233.10x = 348.84 × 196.92
  4. Step 4: Simplify right side
    233.10x = 68,693.57
  5. Step 5: Solve for x
    x = 68,693.57/233.10
  6. Step 6: Final answer
    x = 294.70

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