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Finding the Fourth Proportional to 226.29, 339.31 and 178.23

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Solution

The fourth proportional to 226.29, 339.31 and 178.23 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.29 : 339.31 = 178.23 : x
  2. Step 2: Convert to fraction form
    226.29/339.31 = 178.23/x
  3. Step 3: Cross multiply
    226.29x = 339.31 × 178.23
  4. Step 4: Simplify right side
    226.29x = 60,475.71
  5. Step 5: Solve for x
    x = 60,475.71/226.29
  6. Step 6: Final answer
    x = 267.24

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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.