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Finding the Fourth Proportional to 383.92, 575.90 and 110.05

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Solution

The fourth proportional to 383.92, 575.90 and 110.05 is: 165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 575.90 = 110.05 : x
  2. Step 2: Convert to fraction form
    383.92/575.90 = 110.05/x
  3. Step 3: Cross multiply
    383.92x = 575.90 × 110.05
  4. Step 4: Simplify right side
    383.92x = 63,377.53
  5. Step 5: Solve for x
    x = 63,377.53/383.92
  6. Step 6: Final answer
    x = 165.08

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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.