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Finding the Fourth Proportional to 212.04, 318.96 and 209.88

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Solution

The fourth proportional to 212.04, 318.96 and 209.88 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 318.96 = 209.88 : x
  2. Step 2: Convert to fraction form
    212.04/318.96 = 209.88/x
  3. Step 3: Cross multiply
    212.04x = 318.96 × 209.88
  4. Step 4: Simplify right side
    212.04x = 66,943.32
  5. Step 5: Solve for x
    x = 66,943.32/212.04
  6. Step 6: Final answer
    x = 315.71

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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.