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Finding the Fourth Proportional to 163.50, 224.94 and 142.64

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Solution

The fourth proportional to 163.50, 224.94 and 142.64 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.50 : 224.94 = 142.64 : x
  2. Step 2: Convert to fraction form
    163.50/224.94 = 142.64/x
  3. Step 3: Cross multiply
    163.50x = 224.94 × 142.64
  4. Step 4: Simplify right side
    163.50x = 32,085.44
  5. Step 5: Solve for x
    x = 32,085.44/163.50
  6. Step 6: Final answer
    x = 196.24

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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.