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Finding the Fourth Proportional to 196.25, 292.27 and 184.46

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Solution

The fourth proportional to 196.25, 292.27 and 184.46 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.25 : 292.27 = 184.46 : x
  2. Step 2: Convert to fraction form
    196.25/292.27 = 184.46/x
  3. Step 3: Cross multiply
    196.25x = 292.27 × 184.46
  4. Step 4: Simplify right side
    196.25x = 53,913.68
  5. Step 5: Solve for x
    x = 53,913.68/196.25
  6. Step 6: Final answer
    x = 274.71

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Why These Related Problems?

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