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Finding the Fourth Proportional to 383.24, 575.03 and 163.92

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Solution

The fourth proportional to 383.24, 575.03 and 163.92 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 575.03 = 163.92 : x
  2. Step 2: Convert to fraction form
    383.24/575.03 = 163.92/x
  3. Step 3: Cross multiply
    383.24x = 575.03 × 163.92
  4. Step 4: Simplify right side
    383.24x = 94,258.10
  5. Step 5: Solve for x
    x = 94,258.10/383.24
  6. Step 6: Final answer
    x = 245.95

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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.