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Finding the Fourth Proportional to 213.46, 319.04 and 185.82

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Solution

The fourth proportional to 213.46, 319.04 and 185.82 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.46 : 319.04 = 185.82 : x
  2. Step 2: Convert to fraction form
    213.46/319.04 = 185.82/x
  3. Step 3: Cross multiply
    213.46x = 319.04 × 185.82
  4. Step 4: Simplify right side
    213.46x = 59,284.01
  5. Step 5: Solve for x
    x = 59,284.01/213.46
  6. Step 6: Final answer
    x = 277.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.