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Finding the Fourth Proportional to 156.52, 234.78 and 113.80

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Solution

The fourth proportional to 156.52, 234.78 and 113.80 is: 170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.52 : 234.78 = 113.80 : x
  2. Step 2: Convert to fraction form
    156.52/234.78 = 113.80/x
  3. Step 3: Cross multiply
    156.52x = 234.78 × 113.80
  4. Step 4: Simplify right side
    156.52x = 26,717.96
  5. Step 5: Solve for x
    x = 26,717.96/156.52
  6. Step 6: Final answer
    x = 170.70

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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.