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Finding the Fourth Proportional to 245.91, 339.20 and 226.32

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Solution

The fourth proportional to 245.91, 339.20 and 226.32 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.91 : 339.20 = 226.32 : x
  2. Step 2: Convert to fraction form
    245.91/339.20 = 226.32/x
  3. Step 3: Cross multiply
    245.91x = 339.20 × 226.32
  4. Step 4: Simplify right side
    245.91x = 76,766.61
  5. Step 5: Solve for x
    x = 76,766.61/245.91
  6. Step 6: Final answer
    x = 312.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.