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Finding the Fourth Proportional to 157.81, 236.89 and 133.73

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Solution

The fourth proportional to 157.81, 236.89 and 133.73 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.81 : 236.89 = 133.73 : x
  2. Step 2: Convert to fraction form
    157.81/236.89 = 133.73/x
  3. Step 3: Cross multiply
    157.81x = 236.89 × 133.73
  4. Step 4: Simplify right side
    157.81x = 31,679.30
  5. Step 5: Solve for x
    x = 31,679.30/157.81
  6. Step 6: Final answer
    x = 200.74

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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.