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Finding the Fourth Proportional to 211.98, 317.42 and 199.84

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Solution

The fourth proportional to 211.98, 317.42 and 199.84 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.98 : 317.42 = 199.84 : x
  2. Step 2: Convert to fraction form
    211.98/317.42 = 199.84/x
  3. Step 3: Cross multiply
    211.98x = 317.42 × 199.84
  4. Step 4: Simplify right side
    211.98x = 63,433.21
  5. Step 5: Solve for x
    x = 63,433.21/211.98
  6. Step 6: Final answer
    x = 299.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.