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Finding the Fourth Proportional to 213.17, 294.09 and 171.77

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Solution

The fourth proportional to 213.17, 294.09 and 171.77 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.17 : 294.09 = 171.77 : x
  2. Step 2: Convert to fraction form
    213.17/294.09 = 171.77/x
  3. Step 3: Cross multiply
    213.17x = 294.09 × 171.77
  4. Step 4: Simplify right side
    213.17x = 50,514.37
  5. Step 5: Solve for x
    x = 50,514.37/213.17
  6. Step 6: Final answer
    x = 236.97

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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.