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Finding the Fourth Proportional to 381.42, 571.59 and 180.85

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Solution

The fourth proportional to 381.42, 571.59 and 180.85 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 571.59 = 180.85 : x
  2. Step 2: Convert to fraction form
    381.42/571.59 = 180.85/x
  3. Step 3: Cross multiply
    381.42x = 571.59 × 180.85
  4. Step 4: Simplify right side
    381.42x = 103,373.44
  5. Step 5: Solve for x
    x = 103,373.44/381.42
  6. Step 6: Final answer
    x = 271.02

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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.