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Finding the Fourth Proportional to 383.24, 574.34 and 139.53

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Solution

The fourth proportional to 383.24, 574.34 and 139.53 is: 209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 574.34 = 139.53 : x
  2. Step 2: Convert to fraction form
    383.24/574.34 = 139.53/x
  3. Step 3: Cross multiply
    383.24x = 574.34 × 139.53
  4. Step 4: Simplify right side
    383.24x = 80,138.01
  5. Step 5: Solve for x
    x = 80,138.01/383.24
  6. Step 6: Final answer
    x = 209.11

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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.