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Finding the Fourth Proportional to 211.05, 291.24 and 116.54

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Solution

The fourth proportional to 211.05, 291.24 and 116.54 is: 160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.05 : 291.24 = 116.54 : x
  2. Step 2: Convert to fraction form
    211.05/291.24 = 116.54/x
  3. Step 3: Cross multiply
    211.05x = 291.24 × 116.54
  4. Step 4: Simplify right side
    211.05x = 33,940.75
  5. Step 5: Solve for x
    x = 33,940.75/211.05
  6. Step 6: Final answer
    x = 160.82

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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.