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Finding the Fourth Proportional to 212.48, 316.87 and 200.96

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Solution

The fourth proportional to 212.48, 316.87 and 200.96 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.48 : 316.87 = 200.96 : x
  2. Step 2: Convert to fraction form
    212.48/316.87 = 200.96/x
  3. Step 3: Cross multiply
    212.48x = 316.87 × 200.96
  4. Step 4: Simplify right side
    212.48x = 63,677.30
  5. Step 5: Solve for x
    x = 63,677.30/212.48
  6. Step 6: Final answer
    x = 299.69

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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.