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Finding the Fourth Proportional to 358.53, 494.77 and 201.17

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Solution

The fourth proportional to 358.53, 494.77 and 201.17 is: 277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.53 : 494.77 = 201.17 : x
  2. Step 2: Convert to fraction form
    358.53/494.77 = 201.17/x
  3. Step 3: Cross multiply
    358.53x = 494.77 × 201.17
  4. Step 4: Simplify right side
    358.53x = 99,532.88
  5. Step 5: Solve for x
    x = 99,532.88/358.53
  6. Step 6: Final answer
    x = 277.61

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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.