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Finding the Fourth Proportional to 225.72, 336.96 and 209.52

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Solution

The fourth proportional to 225.72, 336.96 and 209.52 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 336.96 = 209.52 : x
  2. Step 2: Convert to fraction form
    225.72/336.96 = 209.52/x
  3. Step 3: Cross multiply
    225.72x = 336.96 × 209.52
  4. Step 4: Simplify right side
    225.72x = 70,599.86
  5. Step 5: Solve for x
    x = 70,599.86/225.72
  6. Step 6: Final answer
    x = 312.78

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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.