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Finding the Fourth Proportional to 196.22, 293.96 and 100.10

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Solution

The fourth proportional to 196.22, 293.96 and 100.10 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 293.96 = 100.10 : x
  2. Step 2: Convert to fraction form
    196.22/293.96 = 100.10/x
  3. Step 3: Cross multiply
    196.22x = 293.96 × 100.10
  4. Step 4: Simplify right side
    196.22x = 29,425.40
  5. Step 5: Solve for x
    x = 29,425.40/196.22
  6. Step 6: Final answer
    x = 149.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.