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Finding the Fourth Proportional to 211.43, 291.78 and 141.36

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Solution

The fourth proportional to 211.43, 291.78 and 141.36 is: 195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.43 : 291.78 = 141.36 : x
  2. Step 2: Convert to fraction form
    211.43/291.78 = 141.36/x
  3. Step 3: Cross multiply
    211.43x = 291.78 × 141.36
  4. Step 4: Simplify right side
    211.43x = 41,246.02
  5. Step 5: Solve for x
    x = 41,246.02/211.43
  6. Step 6: Final answer
    x = 195.09

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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.