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Finding the Fourth Proportional to 211.41, 291.87 and 197.64

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Solution

The fourth proportional to 211.41, 291.87 and 197.64 is: 272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 291.87 = 197.64 : x
  2. Step 2: Convert to fraction form
    211.41/291.87 = 197.64/x
  3. Step 3: Cross multiply
    211.41x = 291.87 × 197.64
  4. Step 4: Simplify right side
    211.41x = 57,685.19
  5. Step 5: Solve for x
    x = 57,685.19/211.41
  6. Step 6: Final answer
    x = 272.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.