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Finding the Fourth Proportional to 323.33, 485.24 and 117.95

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Solution

The fourth proportional to 323.33, 485.24 and 117.95 is: 177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.33 : 485.24 = 117.95 : x
  2. Step 2: Convert to fraction form
    323.33/485.24 = 117.95/x
  3. Step 3: Cross multiply
    323.33x = 485.24 × 117.95
  4. Step 4: Simplify right side
    323.33x = 57,233.47
  5. Step 5: Solve for x
    x = 57,233.47/323.33
  6. Step 6: Final answer
    x = 177.02

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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.