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Finding the Fourth Proportional to 196.30, 294.22 and 149.30

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Solution

The fourth proportional to 196.30, 294.22 and 149.30 is: 223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.30 : 294.22 = 149.30 : x
  2. Step 2: Convert to fraction form
    196.30/294.22 = 149.30/x
  3. Step 3: Cross multiply
    196.30x = 294.22 × 149.30
  4. Step 4: Simplify right side
    196.30x = 43,925.70
  5. Step 5: Solve for x
    x = 43,925.70/196.30
  6. Step 6: Final answer
    x = 223.77

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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.