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Finding the Fourth Proportional to 381.30, 572.22 and 165.03

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Solution

The fourth proportional to 381.30, 572.22 and 165.03 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 572.22 = 165.03 : x
  2. Step 2: Convert to fraction form
    381.30/572.22 = 165.03/x
  3. Step 3: Cross multiply
    381.30x = 572.22 × 165.03
  4. Step 4: Simplify right side
    381.30x = 94,433.47
  5. Step 5: Solve for x
    x = 94,433.47/381.30
  6. Step 6: Final answer
    x = 247.66

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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.