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Finding the Fourth Proportional to 156.92, 234.68 and 117.97

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Solution

The fourth proportional to 156.92, 234.68 and 117.97 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.92 : 234.68 = 117.97 : x
  2. Step 2: Convert to fraction form
    156.92/234.68 = 117.97/x
  3. Step 3: Cross multiply
    156.92x = 234.68 × 117.97
  4. Step 4: Simplify right side
    156.92x = 27,684.02
  5. Step 5: Solve for x
    x = 27,684.02/156.92
  6. Step 6: Final answer
    x = 176.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.