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Finding the Fourth Proportional to 156.31, 234.74 and 132.25

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Solution

The fourth proportional to 156.31, 234.74 and 132.25 is: 198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.31 : 234.74 = 132.25 : x
  2. Step 2: Convert to fraction form
    156.31/234.74 = 132.25/x
  3. Step 3: Cross multiply
    156.31x = 234.74 × 132.25
  4. Step 4: Simplify right side
    156.31x = 31,044.37
  5. Step 5: Solve for x
    x = 31,044.37/156.31
  6. Step 6: Final answer
    x = 198.61

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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.