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Finding the Fourth Proportional to 322.16, 481.34 and 225.20

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Solution

The fourth proportional to 322.16, 481.34 and 225.20 is: 336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 481.34 = 225.20 : x
  2. Step 2: Convert to fraction form
    322.16/481.34 = 225.20/x
  3. Step 3: Cross multiply
    322.16x = 481.34 × 225.20
  4. Step 4: Simplify right side
    322.16x = 108,397.77
  5. Step 5: Solve for x
    x = 108,397.77/322.16
  6. Step 6: Final answer
    x = 336.47

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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.