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Finding the Fourth Proportional to 211.12, 291.60 and 161.88

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Solution

The fourth proportional to 211.12, 291.60 and 161.88 is: 223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.12 : 291.60 = 161.88 : x
  2. Step 2: Convert to fraction form
    211.12/291.60 = 161.88/x
  3. Step 3: Cross multiply
    211.12x = 291.60 × 161.88
  4. Step 4: Simplify right side
    211.12x = 47,204.21
  5. Step 5: Solve for x
    x = 47,204.21/211.12
  6. Step 6: Final answer
    x = 223.59

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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.