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Finding the Fourth Proportional to 150.36, 224.40 and 140.33

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Solution

The fourth proportional to 150.36, 224.40 and 140.33 is: 209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.36 : 224.40 = 140.33 : x
  2. Step 2: Convert to fraction form
    150.36/224.40 = 140.33/x
  3. Step 3: Cross multiply
    150.36x = 224.40 × 140.33
  4. Step 4: Simplify right side
    150.36x = 31,489.96
  5. Step 5: Solve for x
    x = 31,489.96/150.36
  6. Step 6: Final answer
    x = 209.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.