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Finding the Fourth Proportional to 196.79, 296.61 and 185.63

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Solution

The fourth proportional to 196.79, 296.61 and 185.63 is: 279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.79 : 296.61 = 185.63 : x
  2. Step 2: Convert to fraction form
    196.79/296.61 = 185.63/x
  3. Step 3: Cross multiply
    196.79x = 296.61 × 185.63
  4. Step 4: Simplify right side
    196.79x = 55,059.83
  5. Step 5: Solve for x
    x = 55,059.83/196.79
  6. Step 6: Final answer
    x = 279.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.