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Finding the Fourth Proportional to 333.01, 499.41 and 138.01

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Solution

The fourth proportional to 333.01, 499.41 and 138.01 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.01 : 499.41 = 138.01 : x
  2. Step 2: Convert to fraction form
    333.01/499.41 = 138.01/x
  3. Step 3: Cross multiply
    333.01x = 499.41 × 138.01
  4. Step 4: Simplify right side
    333.01x = 68,923.57
  5. Step 5: Solve for x
    x = 68,923.57/333.01
  6. Step 6: Final answer
    x = 206.97

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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.