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Finding the Fourth Proportional to 196.96, 270.69 and 184.72

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Solution

The fourth proportional to 196.96, 270.69 and 184.72 is: 253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 270.69 = 184.72 : x
  2. Step 2: Convert to fraction form
    196.96/270.69 = 184.72/x
  3. Step 3: Cross multiply
    196.96x = 270.69 × 184.72
  4. Step 4: Simplify right side
    196.96x = 50,001.86
  5. Step 5: Solve for x
    x = 50,001.86/196.96
  6. Step 6: Final answer
    x = 253.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.