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Finding the Fourth Proportional to 323.29, 485.02 and 92.18

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Solution

The fourth proportional to 323.29, 485.02 and 92.18 is: 138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.29 : 485.02 = 92.18 : x
  2. Step 2: Convert to fraction form
    323.29/485.02 = 92.18/x
  3. Step 3: Cross multiply
    323.29x = 485.02 × 92.18
  4. Step 4: Simplify right side
    323.29x = 44,710.76
  5. Step 5: Solve for x
    x = 44,710.76/323.29
  6. Step 6: Final answer
    x = 138.30

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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.