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Finding the Fourth Proportional to 381.54, 572.49 and 189.17

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Solution

The fourth proportional to 381.54, 572.49 and 189.17 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.54 : 572.49 = 189.17 : x
  2. Step 2: Convert to fraction form
    381.54/572.49 = 189.17/x
  3. Step 3: Cross multiply
    381.54x = 572.49 × 189.17
  4. Step 4: Simplify right side
    381.54x = 108,295.07
  5. Step 5: Solve for x
    x = 108,295.07/381.54
  6. Step 6: Final answer
    x = 283.84

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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.