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Finding the Fourth Proportional to 358.13, 494.07 and 225.29

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Solution

The fourth proportional to 358.13, 494.07 and 225.29 is: 310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 494.07 = 225.29 : x
  2. Step 2: Convert to fraction form
    358.13/494.07 = 225.29/x
  3. Step 3: Cross multiply
    358.13x = 494.07 × 225.29
  4. Step 4: Simplify right side
    358.13x = 111,309.93
  5. Step 5: Solve for x
    x = 111,309.93/358.13
  6. Step 6: Final answer
    x = 310.81

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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.