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Finding the Fourth Proportional to 250.70, 345.77 and 163.22

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Solution

The fourth proportional to 250.70, 345.77 and 163.22 is: 225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 345.77 = 163.22 : x
  2. Step 2: Convert to fraction form
    250.70/345.77 = 163.22/x
  3. Step 3: Cross multiply
    250.70x = 345.77 × 163.22
  4. Step 4: Simplify right side
    250.70x = 56,434.65
  5. Step 5: Solve for x
    x = 56,434.65/250.70
  6. Step 6: Final answer
    x = 225.11

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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.