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Finding the Fourth Proportional to 163.26, 224.19 and 157.19

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Solution

The fourth proportional to 163.26, 224.19 and 157.19 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.26 : 224.19 = 157.19 : x
  2. Step 2: Convert to fraction form
    163.26/224.19 = 157.19/x
  3. Step 3: Cross multiply
    163.26x = 224.19 × 157.19
  4. Step 4: Simplify right side
    163.26x = 35,239.31
  5. Step 5: Solve for x
    x = 35,239.31/163.26
  6. Step 6: Final answer
    x = 215.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.