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Finding the Fourth Proportional to 277.23, 382.56 and 163.67

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Solution

The fourth proportional to 277.23, 382.56 and 163.67 is: 225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 382.56 = 163.67 : x
  2. Step 2: Convert to fraction form
    277.23/382.56 = 163.67/x
  3. Step 3: Cross multiply
    277.23x = 382.56 × 163.67
  4. Step 4: Simplify right side
    277.23x = 62,611.68
  5. Step 5: Solve for x
    x = 62,611.68/277.23
  6. Step 6: Final answer
    x = 225.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.