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Finding the Fourth Proportional to 316.92, 475.02 and 225.48

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Solution

The fourth proportional to 316.92, 475.02 and 225.48 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.92 : 475.02 = 225.48 : x
  2. Step 2: Convert to fraction form
    316.92/475.02 = 225.48/x
  3. Step 3: Cross multiply
    316.92x = 475.02 × 225.48
  4. Step 4: Simplify right side
    316.92x = 107,107.51
  5. Step 5: Solve for x
    x = 107,107.51/316.92
  6. Step 6: Final answer
    x = 337.96

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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.