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Finding the Fourth Proportional to 196.22, 270.75 and 117.53

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Solution

The fourth proportional to 196.22, 270.75 and 117.53 is: 162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 270.75 = 117.53 : x
  2. Step 2: Convert to fraction form
    196.22/270.75 = 117.53/x
  3. Step 3: Cross multiply
    196.22x = 270.75 × 117.53
  4. Step 4: Simplify right side
    196.22x = 31,821.25
  5. Step 5: Solve for x
    x = 31,821.25/196.22
  6. Step 6: Final answer
    x = 162.17

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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.