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Finding the Fourth Proportional to 225.96, 336.72 and 212.28

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Solution

The fourth proportional to 225.96, 336.72 and 212.28 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 336.72 = 212.28 : x
  2. Step 2: Convert to fraction form
    225.96/336.72 = 212.28/x
  3. Step 3: Cross multiply
    225.96x = 336.72 × 212.28
  4. Step 4: Simplify right side
    225.96x = 71,478.92
  5. Step 5: Solve for x
    x = 71,478.92/225.96
  6. Step 6: Final answer
    x = 316.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.