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Finding the Fourth Proportional to 213.82, 318.88 and 199.24

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Solution

The fourth proportional to 213.82, 318.88 and 199.24 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 318.88 = 199.24 : x
  2. Step 2: Convert to fraction form
    213.82/318.88 = 199.24/x
  3. Step 3: Cross multiply
    213.82x = 318.88 × 199.24
  4. Step 4: Simplify right side
    213.82x = 63,533.65
  5. Step 5: Solve for x
    x = 63,533.65/213.82
  6. Step 6: Final answer
    x = 297.14

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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.