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Finding the Fourth Proportional to 358.11, 493.97 and 225.34

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Solution

The fourth proportional to 358.11, 493.97 and 225.34 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 493.97 = 225.34 : x
  2. Step 2: Convert to fraction form
    358.11/493.97 = 225.34/x
  3. Step 3: Cross multiply
    358.11x = 493.97 × 225.34
  4. Step 4: Simplify right side
    358.11x = 111,308.84
  5. Step 5: Solve for x
    x = 111,308.84/358.11
  6. Step 6: Final answer
    x = 310.82

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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.