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Finding the Fourth Proportional to 196.10, 270.16 and 159.24

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Solution

The fourth proportional to 196.10, 270.16 and 159.24 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.10 : 270.16 = 159.24 : x
  2. Step 2: Convert to fraction form
    196.10/270.16 = 159.24/x
  3. Step 3: Cross multiply
    196.10x = 270.16 × 159.24
  4. Step 4: Simplify right side
    196.10x = 43,020.28
  5. Step 5: Solve for x
    x = 43,020.28/196.10
  6. Step 6: Final answer
    x = 219.38

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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.