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Finding the Fourth Proportional to 358.65, 494.92 and 201.28

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Solution

The fourth proportional to 358.65, 494.92 and 201.28 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.65 : 494.92 = 201.28 : x
  2. Step 2: Convert to fraction form
    358.65/494.92 = 201.28/x
  3. Step 3: Cross multiply
    358.65x = 494.92 × 201.28
  4. Step 4: Simplify right side
    358.65x = 99,618.42
  5. Step 5: Solve for x
    x = 99,618.42/358.65
  6. Step 6: Final answer
    x = 277.76

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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.