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Finding the Fourth Proportional to 383.73, 575.59 and 140.15

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Solution

The fourth proportional to 383.73, 575.59 and 140.15 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.73 : 575.59 = 140.15 : x
  2. Step 2: Convert to fraction form
    383.73/575.59 = 140.15/x
  3. Step 3: Cross multiply
    383.73x = 575.59 × 140.15
  4. Step 4: Simplify right side
    383.73x = 80,668.94
  5. Step 5: Solve for x
    x = 80,668.94/383.73
  6. Step 6: Final answer
    x = 210.23

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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.