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Finding the Fourth Proportional to 226.58, 339.96 and 72.53

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Solution

The fourth proportional to 226.58, 339.96 and 72.53 is: 108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.58 : 339.96 = 72.53 : x
  2. Step 2: Convert to fraction form
    226.58/339.96 = 72.53/x
  3. Step 3: Cross multiply
    226.58x = 339.96 × 72.53
  4. Step 4: Simplify right side
    226.58x = 24,657.30
  5. Step 5: Solve for x
    x = 24,657.30/226.58
  6. Step 6: Final answer
    x = 108.82

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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.