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Finding the Fourth Proportional to 226.35, 339.27 and 145.23

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Solution

The fourth proportional to 226.35, 339.27 and 145.23 is: 217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.35 : 339.27 = 145.23 : x
  2. Step 2: Convert to fraction form
    226.35/339.27 = 145.23/x
  3. Step 3: Cross multiply
    226.35x = 339.27 × 145.23
  4. Step 4: Simplify right side
    226.35x = 49,272.18
  5. Step 5: Solve for x
    x = 49,272.18/226.35
  6. Step 6: Final answer
    x = 217.68

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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.