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Finding the Fourth Proportional to 481.63, 722.37 and 156.96

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Solution

The fourth proportional to 481.63, 722.37 and 156.96 is: 235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.63 : 722.37 = 156.96 : x
  2. Step 2: Convert to fraction form
    481.63/722.37 = 156.96/x
  3. Step 3: Cross multiply
    481.63x = 722.37 × 156.96
  4. Step 4: Simplify right side
    481.63x = 113,383.20
  5. Step 5: Solve for x
    x = 113,383.20/481.63
  6. Step 6: Final answer
    x = 235.42

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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.