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Finding the Fourth Proportional to 294.44, 442.67 and 225.99

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Solution

The fourth proportional to 294.44, 442.67 and 225.99 is: 339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.44 : 442.67 = 225.99 : x
  2. Step 2: Convert to fraction form
    294.44/442.67 = 225.99/x
  3. Step 3: Cross multiply
    294.44x = 442.67 × 225.99
  4. Step 4: Simplify right side
    294.44x = 100,037.86
  5. Step 5: Solve for x
    x = 100,037.86/294.44
  6. Step 6: Final answer
    x = 339.76

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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.