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Finding the Fourth Proportional to 212.79, 293.47 and 171.33

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Solution

The fourth proportional to 212.79, 293.47 and 171.33 is: 236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.79 : 293.47 = 171.33 : x
  2. Step 2: Convert to fraction form
    212.79/293.47 = 171.33/x
  3. Step 3: Cross multiply
    212.79x = 293.47 × 171.33
  4. Step 4: Simplify right side
    212.79x = 50,281.30
  5. Step 5: Solve for x
    x = 50,281.30/212.79
  6. Step 6: Final answer
    x = 236.29

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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.