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Finding the Fourth Proportional to 481.50, 722.32 and 188.96

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Solution

The fourth proportional to 481.50, 722.32 and 188.96 is: 283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.50 : 722.32 = 188.96 : x
  2. Step 2: Convert to fraction form
    481.50/722.32 = 188.96/x
  3. Step 3: Cross multiply
    481.50x = 722.32 × 188.96
  4. Step 4: Simplify right side
    481.50x = 136,489.59
  5. Step 5: Solve for x
    x = 136,489.59/481.50
  6. Step 6: Final answer
    x = 283.47

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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.