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Finding the Fourth Proportional to 156.58, 234.42 and 132.13

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Solution

The fourth proportional to 156.58, 234.42 and 132.13 is: 197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.58 : 234.42 = 132.13 : x
  2. Step 2: Convert to fraction form
    156.58/234.42 = 132.13/x
  3. Step 3: Cross multiply
    156.58x = 234.42 × 132.13
  4. Step 4: Simplify right side
    156.58x = 30,974.08
  5. Step 5: Solve for x
    x = 30,974.08/156.58
  6. Step 6: Final answer
    x = 197.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.