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Finding the Fourth Proportional to 223.20, 334.27 and 171.47

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Solution

The fourth proportional to 223.20, 334.27 and 171.47 is: 256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 334.27 = 171.47 : x
  2. Step 2: Convert to fraction form
    223.20/334.27 = 171.47/x
  3. Step 3: Cross multiply
    223.20x = 334.27 × 171.47
  4. Step 4: Simplify right side
    223.20x = 57,317.28
  5. Step 5: Solve for x
    x = 57,317.28/223.20
  6. Step 6: Final answer
    x = 256.80

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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.