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Finding the Fourth Proportional to 383.37, 575.10 and 139.83

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Solution

The fourth proportional to 383.37, 575.10 and 139.83 is: 209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.37 : 575.10 = 139.83 : x
  2. Step 2: Convert to fraction form
    383.37/575.10 = 139.83/x
  3. Step 3: Cross multiply
    383.37x = 575.10 × 139.83
  4. Step 4: Simplify right side
    383.37x = 80,416.23
  5. Step 5: Solve for x
    x = 80,416.23/383.37
  6. Step 6: Final answer
    x = 209.76

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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.