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Finding the Fourth Proportional to 481.87, 722.91 and 157.16

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Solution

The fourth proportional to 481.87, 722.91 and 157.16 is: 235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.87 : 722.91 = 157.16 : x
  2. Step 2: Convert to fraction form
    481.87/722.91 = 157.16/x
  3. Step 3: Cross multiply
    481.87x = 722.91 × 157.16
  4. Step 4: Simplify right side
    481.87x = 113,609.98
  5. Step 5: Solve for x
    x = 113,609.98/481.87
  6. Step 6: Final answer
    x = 235.77

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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.