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Finding the Fourth Proportional to 481.06, 721.62 and 156.46

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Solution

The fourth proportional to 481.06, 721.62 and 156.46 is: 234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.06 : 721.62 = 156.46 : x
  2. Step 2: Convert to fraction form
    481.06/721.62 = 156.46/x
  3. Step 3: Cross multiply
    481.06x = 721.62 × 156.46
  4. Step 4: Simplify right side
    481.06x = 112,904.67
  5. Step 5: Solve for x
    x = 112,904.67/481.06
  6. Step 6: Final answer
    x = 234.70

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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.