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Finding the Fourth Proportional to 211.09, 291 and 161.89

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Solution

The fourth proportional to 211.09, 291 and 161.89 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.09 : 291 = 161.89 : x
  2. Step 2: Convert to fraction form
    211.09/291 = 161.89/x
  3. Step 3: Cross multiply
    211.09x = 291 × 161.89
  4. Step 4: Simplify right side
    211.09x = 47,109.99
  5. Step 5: Solve for x
    x = 47,109.99/211.09
  6. Step 6: Final answer
    x = 223.17

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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.