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Finding the Fourth Proportional to 211.67, 291.95 and 194.24

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Solution

The fourth proportional to 211.67, 291.95 and 194.24 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.67 : 291.95 = 194.24 : x
  2. Step 2: Convert to fraction form
    211.67/291.95 = 194.24/x
  3. Step 3: Cross multiply
    211.67x = 291.95 × 194.24
  4. Step 4: Simplify right side
    211.67x = 56,705.94
  5. Step 5: Solve for x
    x = 56,705.94/211.67
  6. Step 6: Final answer
    x = 267.90

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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.