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Finding the Fourth Proportional to 211.50, 291.90 and 122.97

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Solution

The fourth proportional to 211.50, 291.90 and 122.97 is: 169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 291.90 = 122.97 : x
  2. Step 2: Convert to fraction form
    211.50/291.90 = 122.97/x
  3. Step 3: Cross multiply
    211.50x = 291.90 × 122.97
  4. Step 4: Simplify right side
    211.50x = 35,894.94
  5. Step 5: Solve for x
    x = 35,894.94/211.50
  6. Step 6: Final answer
    x = 169.72

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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.