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Finding the Fourth Proportional to 233.92, 322.86 and 195.04

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Solution

The fourth proportional to 233.92, 322.86 and 195.04 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 322.86 = 195.04 : x
  2. Step 2: Convert to fraction form
    233.92/322.86 = 195.04/x
  3. Step 3: Cross multiply
    233.92x = 322.86 × 195.04
  4. Step 4: Simplify right side
    233.92x = 62,970.61
  5. Step 5: Solve for x
    x = 62,970.61/233.92
  6. Step 6: Final answer
    x = 269.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.