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Finding the Fourth Proportional to 211.84, 291.99 and 168.10

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Solution

The fourth proportional to 211.84, 291.99 and 168.10 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.84 : 291.99 = 168.10 : x
  2. Step 2: Convert to fraction form
    211.84/291.99 = 168.10/x
  3. Step 3: Cross multiply
    211.84x = 291.99 × 168.10
  4. Step 4: Simplify right side
    211.84x = 49,083.52
  5. Step 5: Solve for x
    x = 49,083.52/211.84
  6. Step 6: Final answer
    x = 231.70

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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.