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Finding the Fourth Proportional to 156.24, 233.82 and 132.12

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Solution

The fourth proportional to 156.24, 233.82 and 132.12 is: 197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.24 : 233.82 = 132.12 : x
  2. Step 2: Convert to fraction form
    156.24/233.82 = 132.12/x
  3. Step 3: Cross multiply
    156.24x = 233.82 × 132.12
  4. Step 4: Simplify right side
    156.24x = 30,892.30
  5. Step 5: Solve for x
    x = 30,892.30/156.24
  6. Step 6: Final answer
    x = 197.72

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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.