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Finding the Fourth Proportional to 358.67, 495.00 and 201.35

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Solution

The fourth proportional to 358.67, 495.00 and 201.35 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.67 : 495.00 = 201.35 : x
  2. Step 2: Convert to fraction form
    358.67/495.00 = 201.35/x
  3. Step 3: Cross multiply
    358.67x = 495.00 × 201.35
  4. Step 4: Simplify right side
    358.67x = 99,667.18
  5. Step 5: Solve for x
    x = 99,667.18/358.67
  6. Step 6: Final answer
    x = 277.88

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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.