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Finding the Fourth Proportional to 211.06, 316.02 and 198.92

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Solution

The fourth proportional to 211.06, 316.02 and 198.92 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 316.02 = 198.92 : x
  2. Step 2: Convert to fraction form
    211.06/316.02 = 198.92/x
  3. Step 3: Cross multiply
    211.06x = 316.02 × 198.92
  4. Step 4: Simplify right side
    211.06x = 62,861.70
  5. Step 5: Solve for x
    x = 62,861.70/211.06
  6. Step 6: Final answer
    x = 297.84

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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.