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Finding the Fourth Proportional to 481.66, 722.37 and 157.12

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Solution

The fourth proportional to 481.66, 722.37 and 157.12 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.66 : 722.37 = 157.12 : x
  2. Step 2: Convert to fraction form
    481.66/722.37 = 157.12/x
  3. Step 3: Cross multiply
    481.66x = 722.37 × 157.12
  4. Step 4: Simplify right side
    481.66x = 113,498.77
  5. Step 5: Solve for x
    x = 113,498.77/481.66
  6. Step 6: Final answer
    x = 235.64

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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.