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Finding the Fourth Proportional to 212.24, 316.24 and 207.92

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Solution

The fourth proportional to 212.24, 316.24 and 207.92 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 316.24 = 207.92 : x
  2. Step 2: Convert to fraction form
    212.24/316.24 = 207.92/x
  3. Step 3: Cross multiply
    212.24x = 316.24 × 207.92
  4. Step 4: Simplify right side
    212.24x = 65,752.62
  5. Step 5: Solve for x
    x = 65,752.62/212.24
  6. Step 6: Final answer
    x = 309.80

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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.