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Finding the Fourth Proportional to 196.21, 293.83 and 150.19

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Solution

The fourth proportional to 196.21, 293.83 and 150.19 is: 224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 293.83 = 150.19 : x
  2. Step 2: Convert to fraction form
    196.21/293.83 = 150.19/x
  3. Step 3: Cross multiply
    196.21x = 293.83 × 150.19
  4. Step 4: Simplify right side
    196.21x = 44,130.33
  5. Step 5: Solve for x
    x = 44,130.33/196.21
  6. Step 6: Final answer
    x = 224.91

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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.