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Finding the Fourth Proportional to 157.64, 236.42 and 132.14

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Solution

The fourth proportional to 157.64, 236.42 and 132.14 is: 198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 236.42 = 132.14 : x
  2. Step 2: Convert to fraction form
    157.64/236.42 = 132.14/x
  3. Step 3: Cross multiply
    157.64x = 236.42 × 132.14
  4. Step 4: Simplify right side
    157.64x = 31,240.54
  5. Step 5: Solve for x
    x = 31,240.54/157.64
  6. Step 6: Final answer
    x = 198.18

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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.