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Finding the Fourth Proportional to 212.26, 318.20 and 171.06

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Solution

The fourth proportional to 212.26, 318.20 and 171.06 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.26 : 318.20 = 171.06 : x
  2. Step 2: Convert to fraction form
    212.26/318.20 = 171.06/x
  3. Step 3: Cross multiply
    212.26x = 318.20 × 171.06
  4. Step 4: Simplify right side
    212.26x = 54,431.37
  5. Step 5: Solve for x
    x = 54,431.37/212.26
  6. Step 6: Final answer
    x = 256.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.