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Finding the Fourth Proportional to 213.82, 319.86 and 185.24

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Solution

The fourth proportional to 213.82, 319.86 and 185.24 is: 277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 319.86 = 185.24 : x
  2. Step 2: Convert to fraction form
    213.82/319.86 = 185.24/x
  3. Step 3: Cross multiply
    213.82x = 319.86 × 185.24
  4. Step 4: Simplify right side
    213.82x = 59,251.67
  5. Step 5: Solve for x
    x = 59,251.67/213.82
  6. Step 6: Final answer
    x = 277.11

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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.