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Finding the Fourth Proportional to 381.24, 572.13 and 189

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Solution

The fourth proportional to 381.24, 572.13 and 189 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 572.13 = 189 : x
  2. Step 2: Convert to fraction form
    381.24/572.13 = 189/x
  3. Step 3: Cross multiply
    381.24x = 572.13 × 189
  4. Step 4: Simplify right side
    381.24x = 108,132.57
  5. Step 5: Solve for x
    x = 108,132.57/381.24
  6. Step 6: Final answer
    x = 283.63

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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.