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Finding the Fourth Proportional to 196.14, 293.58 and 123.96

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Solution

The fourth proportional to 196.14, 293.58 and 123.96 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 293.58 = 123.96 : x
  2. Step 2: Convert to fraction form
    196.14/293.58 = 123.96/x
  3. Step 3: Cross multiply
    196.14x = 293.58 × 123.96
  4. Step 4: Simplify right side
    196.14x = 36,392.18
  5. Step 5: Solve for x
    x = 36,392.18/196.14
  6. Step 6: Final answer
    x = 185.54

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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.