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Finding the Fourth Proportional to 196.80, 271.44 and 184.35

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Solution

The fourth proportional to 196.80, 271.44 and 184.35 is: 254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 271.44 = 184.35 : x
  2. Step 2: Convert to fraction form
    196.80/271.44 = 184.35/x
  3. Step 3: Cross multiply
    196.80x = 271.44 × 184.35
  4. Step 4: Simplify right side
    196.80x = 50,039.96
  5. Step 5: Solve for x
    x = 50,039.96/196.80
  6. Step 6: Final answer
    x = 254.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.