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Finding the Fourth Proportional to 381.40, 571.92 and 121.35

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Solution

The fourth proportional to 381.40, 571.92 and 121.35 is: 181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.40 : 571.92 = 121.35 : x
  2. Step 2: Convert to fraction form
    381.40/571.92 = 121.35/x
  3. Step 3: Cross multiply
    381.40x = 571.92 × 121.35
  4. Step 4: Simplify right side
    381.40x = 69,400.35
  5. Step 5: Solve for x
    x = 69,400.35/381.40
  6. Step 6: Final answer
    x = 181.96

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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.