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Finding the Fourth Proportional to 196.64, 271.12 and 144.80

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Solution

The fourth proportional to 196.64, 271.12 and 144.80 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 271.12 = 144.80 : x
  2. Step 2: Convert to fraction form
    196.64/271.12 = 144.80/x
  3. Step 3: Cross multiply
    196.64x = 271.12 × 144.80
  4. Step 4: Simplify right side
    196.64x = 39,258.18
  5. Step 5: Solve for x
    x = 39,258.18/196.64
  6. Step 6: Final answer
    x = 199.64

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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.