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Finding the Fourth Proportional to 381.08, 571.53 and 149.87

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Solution

The fourth proportional to 381.08, 571.53 and 149.87 is: 224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.08 : 571.53 = 149.87 : x
  2. Step 2: Convert to fraction form
    381.08/571.53 = 149.87/x
  3. Step 3: Cross multiply
    381.08x = 571.53 × 149.87
  4. Step 4: Simplify right side
    381.08x = 85,655.20
  5. Step 5: Solve for x
    x = 85,655.20/381.08
  6. Step 6: Final answer
    x = 224.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.