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Finding the Fourth Proportional to 196.40, 271.20 and 144.24

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Solution

The fourth proportional to 196.40, 271.20 and 144.24 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 271.20 = 144.24 : x
  2. Step 2: Convert to fraction form
    196.40/271.20 = 144.24/x
  3. Step 3: Cross multiply
    196.40x = 271.20 × 144.24
  4. Step 4: Simplify right side
    196.40x = 39,117.89
  5. Step 5: Solve for x
    x = 39,117.89/196.40
  6. Step 6: Final answer
    x = 199.17

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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.