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Finding the Fourth Proportional to 358.92, 495.36 and 226.20

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Solution

The fourth proportional to 358.92, 495.36 and 226.20 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.92 : 495.36 = 226.20 : x
  2. Step 2: Convert to fraction form
    358.92/495.36 = 226.20/x
  3. Step 3: Cross multiply
    358.92x = 495.36 × 226.20
  4. Step 4: Simplify right side
    358.92x = 112,050.43
  5. Step 5: Solve for x
    x = 112,050.43/358.92
  6. Step 6: Final answer
    x = 312.19

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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.