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Finding the Fourth Proportional to 212.92, 294.00 and 171.34

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Solution

The fourth proportional to 212.92, 294.00 and 171.34 is: 236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 294.00 = 171.34 : x
  2. Step 2: Convert to fraction form
    212.92/294.00 = 171.34/x
  3. Step 3: Cross multiply
    212.92x = 294.00 × 171.34
  4. Step 4: Simplify right side
    212.92x = 50,372.58
  5. Step 5: Solve for x
    x = 50,372.58/212.92
  6. Step 6: Final answer
    x = 236.58

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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.