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Finding the Fourth Proportional to 331.19, 496.87 and 157.81

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Solution

The fourth proportional to 331.19, 496.87 and 157.81 is: 236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.19 : 496.87 = 157.81 : x
  2. Step 2: Convert to fraction form
    331.19/496.87 = 157.81/x
  3. Step 3: Cross multiply
    331.19x = 496.87 × 157.81
  4. Step 4: Simplify right side
    331.19x = 78,411.71
  5. Step 5: Solve for x
    x = 78,411.71/331.19
  6. Step 6: Final answer
    x = 236.76

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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.