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Finding the Fourth Proportional to 196.48, 271.20 and 184.16

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Solution

The fourth proportional to 196.48, 271.20 and 184.16 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.48 : 271.20 = 184.16 : x
  2. Step 2: Convert to fraction form
    196.48/271.20 = 184.16/x
  3. Step 3: Cross multiply
    196.48x = 271.20 × 184.16
  4. Step 4: Simplify right side
    196.48x = 49,944.19
  5. Step 5: Solve for x
    x = 49,944.19/196.48
  6. Step 6: Final answer
    x = 254.19

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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.