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Finding the Fourth Proportional to 156.63, 233.84 and 132.33

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Solution

The fourth proportional to 156.63, 233.84 and 132.33 is: 197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.63 : 233.84 = 132.33 : x
  2. Step 2: Convert to fraction form
    156.63/233.84 = 132.33/x
  3. Step 3: Cross multiply
    156.63x = 233.84 × 132.33
  4. Step 4: Simplify right side
    156.63x = 30,944.05
  5. Step 5: Solve for x
    x = 30,944.05/156.63
  6. Step 6: Final answer
    x = 197.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.