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Finding the Fourth Proportional to 196.26, 270.90 and 173.16

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Solution

The fourth proportional to 196.26, 270.90 and 173.16 is: 239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.26 : 270.90 = 173.16 : x
  2. Step 2: Convert to fraction form
    196.26/270.90 = 173.16/x
  3. Step 3: Cross multiply
    196.26x = 270.90 × 173.16
  4. Step 4: Simplify right side
    196.26x = 46,909.04
  5. Step 5: Solve for x
    x = 46,909.04/196.26
  6. Step 6: Final answer
    x = 239.01

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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.