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Finding the Fourth Proportional to 196.62, 271.29 and 117.93

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Solution

The fourth proportional to 196.62, 271.29 and 117.93 is: 162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 271.29 = 117.93 : x
  2. Step 2: Convert to fraction form
    196.62/271.29 = 117.93/x
  3. Step 3: Cross multiply
    196.62x = 271.29 × 117.93
  4. Step 4: Simplify right side
    196.62x = 31,993.23
  5. Step 5: Solve for x
    x = 31,993.23/196.62
  6. Step 6: Final answer
    x = 162.72

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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.