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Finding the Fourth Proportional to 196.21, 294.03 and 122.86

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Solution

The fourth proportional to 196.21, 294.03 and 122.86 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 294.03 = 122.86 : x
  2. Step 2: Convert to fraction form
    196.21/294.03 = 122.86/x
  3. Step 3: Cross multiply
    196.21x = 294.03 × 122.86
  4. Step 4: Simplify right side
    196.21x = 36,124.53
  5. Step 5: Solve for x
    x = 36,124.53/196.21
  6. Step 6: Final answer
    x = 184.11

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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.