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Finding the Fourth Proportional to 211.59, 291.71 and 161.82

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Solution

The fourth proportional to 211.59, 291.71 and 161.82 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.59 : 291.71 = 161.82 : x
  2. Step 2: Convert to fraction form
    211.59/291.71 = 161.82/x
  3. Step 3: Cross multiply
    211.59x = 291.71 × 161.82
  4. Step 4: Simplify right side
    211.59x = 47,204.43
  5. Step 5: Solve for x
    x = 47,204.43/211.59
  6. Step 6: Final answer
    x = 223.10

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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.