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Finding the Fourth Proportional to 211.92, 291.96 and 199.68

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Solution

The fourth proportional to 211.92, 291.96 and 199.68 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 291.96 = 199.68 : x
  2. Step 2: Convert to fraction form
    211.92/291.96 = 199.68/x
  3. Step 3: Cross multiply
    211.92x = 291.96 × 199.68
  4. Step 4: Simplify right side
    211.92x = 58,298.57
  5. Step 5: Solve for x
    x = 58,298.57/211.92
  6. Step 6: Final answer
    x = 275.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.