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Finding the Fourth Proportional to 196.74, 295.23 and 184.74

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Solution

The fourth proportional to 196.74, 295.23 and 184.74 is: 277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 295.23 = 184.74 : x
  2. Step 2: Convert to fraction form
    196.74/295.23 = 184.74/x
  3. Step 3: Cross multiply
    196.74x = 295.23 × 184.74
  4. Step 4: Simplify right side
    196.74x = 54,540.79
  5. Step 5: Solve for x
    x = 54,540.79/196.74
  6. Step 6: Final answer
    x = 277.22

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Why These Related Problems?

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