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Finding the Fourth Proportional to 295.31, 442.97 and 226.96

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Solution

The fourth proportional to 295.31, 442.97 and 226.96 is: 340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.31 : 442.97 = 226.96 : x
  2. Step 2: Convert to fraction form
    295.31/442.97 = 226.96/x
  3. Step 3: Cross multiply
    295.31x = 442.97 × 226.96
  4. Step 4: Simplify right side
    295.31x = 100,533.12
  5. Step 5: Solve for x
    x = 100,533.12/295.31
  6. Step 6: Final answer
    x = 340.43

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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.