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Finding the Fourth Proportional to 196.64, 293.44 and 186.92

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Solution

The fourth proportional to 196.64, 293.44 and 186.92 is: 278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 293.44 = 186.92 : x
  2. Step 2: Convert to fraction form
    196.64/293.44 = 186.92/x
  3. Step 3: Cross multiply
    196.64x = 293.44 × 186.92
  4. Step 4: Simplify right side
    196.64x = 54,849.80
  5. Step 5: Solve for x
    x = 54,849.80/196.64
  6. Step 6: Final answer
    x = 278.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.