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Finding the Fourth Proportional to 196.40, 270.68 and 159.68

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Solution

The fourth proportional to 196.40, 270.68 and 159.68 is: 220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 270.68 = 159.68 : x
  2. Step 2: Convert to fraction form
    196.40/270.68 = 159.68/x
  3. Step 3: Cross multiply
    196.40x = 270.68 × 159.68
  4. Step 4: Simplify right side
    196.40x = 43,222.18
  5. Step 5: Solve for x
    x = 43,222.18/196.40
  6. Step 6: Final answer
    x = 220.07

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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.