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Finding the Fourth Proportional to 381.60, 572.10 and 208.08

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Solution

The fourth proportional to 381.60, 572.10 and 208.08 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.60 : 572.10 = 208.08 : x
  2. Step 2: Convert to fraction form
    381.60/572.10 = 208.08/x
  3. Step 3: Cross multiply
    381.60x = 572.10 × 208.08
  4. Step 4: Simplify right side
    381.60x = 119,042.57
  5. Step 5: Solve for x
    x = 119,042.57/381.60
  6. Step 6: Final answer
    x = 311.96

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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.