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Finding the Fourth Proportional to 212.16, 316.05 and 198.88

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Solution

The fourth proportional to 212.16, 316.05 and 198.88 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 316.05 = 198.88 : x
  2. Step 2: Convert to fraction form
    212.16/316.05 = 198.88/x
  3. Step 3: Cross multiply
    212.16x = 316.05 × 198.88
  4. Step 4: Simplify right side
    212.16x = 62,856.02
  5. Step 5: Solve for x
    x = 62,856.02/212.16
  6. Step 6: Final answer
    x = 296.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.