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Finding the Fourth Proportional to 250.44, 375.84 and 163.77

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Solution

The fourth proportional to 250.44, 375.84 and 163.77 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.44 : 375.84 = 163.77 : x
  2. Step 2: Convert to fraction form
    250.44/375.84 = 163.77/x
  3. Step 3: Cross multiply
    250.44x = 375.84 × 163.77
  4. Step 4: Simplify right side
    250.44x = 61,552.02
  5. Step 5: Solve for x
    x = 61,552.02/250.44
  6. Step 6: Final answer
    x = 245.77

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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.