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Finding the Fourth Proportional to 639.74, 959.75 and 201

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Solution

The fourth proportional to 639.74, 959.75 and 201 is: 301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.74 : 959.75 = 201 : x
  2. Step 2: Convert to fraction form
    639.74/959.75 = 201/x
  3. Step 3: Cross multiply
    639.74x = 959.75 × 201
  4. Step 4: Simplify right side
    639.74x = 192,908.75
  5. Step 5: Solve for x
    x = 192,908.75/639.74
  6. Step 6: Final answer
    x = 301.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.