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Finding the Fourth Proportional to 196.61, 295.01 and 100.43

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Solution

The fourth proportional to 196.61, 295.01 and 100.43 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 295.01 = 100.43 : x
  2. Step 2: Convert to fraction form
    196.61/295.01 = 100.43/x
  3. Step 3: Cross multiply
    196.61x = 295.01 × 100.43
  4. Step 4: Simplify right side
    196.61x = 29,625.88
  5. Step 5: Solve for x
    x = 29,625.88/196.61
  6. Step 6: Final answer
    x = 150.69

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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.