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Finding the Fourth Proportional to 358.24, 494.36 and 208.88

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Solution

The fourth proportional to 358.24, 494.36 and 208.88 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 494.36 = 208.88 : x
  2. Step 2: Convert to fraction form
    358.24/494.36 = 208.88/x
  3. Step 3: Cross multiply
    358.24x = 494.36 × 208.88
  4. Step 4: Simplify right side
    358.24x = 103,261.92
  5. Step 5: Solve for x
    x = 103,261.92/358.24
  6. Step 6: Final answer
    x = 288.25

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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.