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Finding the Fourth Proportional to 156.42, 234.22 and 131.99

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Solution

The fourth proportional to 156.42, 234.22 and 131.99 is: 197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 234.22 = 131.99 : x
  2. Step 2: Convert to fraction form
    156.42/234.22 = 131.99/x
  3. Step 3: Cross multiply
    156.42x = 234.22 × 131.99
  4. Step 4: Simplify right side
    156.42x = 30,913.20
  5. Step 5: Solve for x
    x = 30,913.20/156.42
  6. Step 6: Final answer
    x = 197.63

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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.