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Finding the Fourth Proportional to 381.69, 572.73 and 189.31

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Solution

The fourth proportional to 381.69, 572.73 and 189.31 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 572.73 = 189.31 : x
  2. Step 2: Convert to fraction form
    381.69/572.73 = 189.31/x
  3. Step 3: Cross multiply
    381.69x = 572.73 × 189.31
  4. Step 4: Simplify right side
    381.69x = 108,423.52
  5. Step 5: Solve for x
    x = 108,423.52/381.69
  6. Step 6: Final answer
    x = 284.06

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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.