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Finding the Fourth Proportional to 196.78, 294.04 and 150.25

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Solution

The fourth proportional to 196.78, 294.04 and 150.25 is: 224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 294.04 = 150.25 : x
  2. Step 2: Convert to fraction form
    196.78/294.04 = 150.25/x
  3. Step 3: Cross multiply
    196.78x = 294.04 × 150.25
  4. Step 4: Simplify right side
    196.78x = 44,177.29
  5. Step 5: Solve for x
    x = 44,177.29/196.78
  6. Step 6: Final answer
    x = 224.51

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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.