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Finding the Fourth Proportional to 196.51, 271.21 and 117.83

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Solution

The fourth proportional to 196.51, 271.21 and 117.83 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.51 : 271.21 = 117.83 : x
  2. Step 2: Convert to fraction form
    196.51/271.21 = 117.83/x
  3. Step 3: Cross multiply
    196.51x = 271.21 × 117.83
  4. Step 4: Simplify right side
    196.51x = 31,956.67
  5. Step 5: Solve for x
    x = 31,956.67/196.51
  6. Step 6: Final answer
    x = 162.62

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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.