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Finding the Fourth Proportional to 381.52, 572.11 and 208.25

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Solution

The fourth proportional to 381.52, 572.11 and 208.25 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.52 : 572.11 = 208.25 : x
  2. Step 2: Convert to fraction form
    381.52/572.11 = 208.25/x
  3. Step 3: Cross multiply
    381.52x = 572.11 × 208.25
  4. Step 4: Simplify right side
    381.52x = 119,138.53
  5. Step 5: Solve for x
    x = 119,138.53/381.52
  6. Step 6: Final answer
    x = 312.28

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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.