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Finding the Fourth Proportional to 196.16, 270.34 and 159.10

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Solution

The fourth proportional to 196.16, 270.34 and 159.10 is: 219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.16 : 270.34 = 159.10 : x
  2. Step 2: Convert to fraction form
    196.16/270.34 = 159.10/x
  3. Step 3: Cross multiply
    196.16x = 270.34 × 159.10
  4. Step 4: Simplify right side
    196.16x = 43,010.02
  5. Step 5: Solve for x
    x = 43,010.02/196.16
  6. Step 6: Final answer
    x = 219.27

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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.