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Finding the Fourth Proportional to 196.49, 270.29 and 159.57

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Solution

The fourth proportional to 196.49, 270.29 and 159.57 is: 219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 270.29 = 159.57 : x
  2. Step 2: Convert to fraction form
    196.49/270.29 = 159.57/x
  3. Step 3: Cross multiply
    196.49x = 270.29 × 159.57
  4. Step 4: Simplify right side
    196.49x = 43,130.57
  5. Step 5: Solve for x
    x = 43,130.57/196.49
  6. Step 6: Final answer
    x = 219.50

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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.