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Finding the Fourth Proportional to 196.23, 270.78 and 117.54

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Solution

The fourth proportional to 196.23, 270.78 and 117.54 is: 162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.23 : 270.78 = 117.54 : x
  2. Step 2: Convert to fraction form
    196.23/270.78 = 117.54/x
  3. Step 3: Cross multiply
    196.23x = 270.78 × 117.54
  4. Step 4: Simplify right side
    196.23x = 31,828.61
  5. Step 5: Solve for x
    x = 31,828.61/196.23
  6. Step 6: Final answer
    x = 162.20

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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.