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Finding the Fourth Proportional to 211.75, 291.60 and 211.12

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Solution

The fourth proportional to 211.75, 291.60 and 211.12 is: 290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.75 : 291.60 = 211.12 : x
  2. Step 2: Convert to fraction form
    211.75/291.60 = 211.12/x
  3. Step 3: Cross multiply
    211.75x = 291.60 × 211.12
  4. Step 4: Simplify right side
    211.75x = 61,561.86
  5. Step 5: Solve for x
    x = 61,561.86/211.75
  6. Step 6: Final answer
    x = 290.73

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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.