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Finding the Fourth Proportional to 225.79, 338.21 and 171.52

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Solution

The fourth proportional to 225.79, 338.21 and 171.52 is: 256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.79 : 338.21 = 171.52 : x
  2. Step 2: Convert to fraction form
    225.79/338.21 = 171.52/x
  3. Step 3: Cross multiply
    225.79x = 338.21 × 171.52
  4. Step 4: Simplify right side
    225.79x = 58,007.23
  5. Step 5: Solve for x
    x = 58,007.23/225.79
  6. Step 6: Final answer
    x = 256.91

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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.