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Finding the Fourth Proportional to 163.64, 225.36 and 140.15

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Solution

The fourth proportional to 163.64, 225.36 and 140.15 is: 193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.64 : 225.36 = 140.15 : x
  2. Step 2: Convert to fraction form
    163.64/225.36 = 140.15/x
  3. Step 3: Cross multiply
    163.64x = 225.36 × 140.15
  4. Step 4: Simplify right side
    163.64x = 31,584.20
  5. Step 5: Solve for x
    x = 31,584.20/163.64
  6. Step 6: Final answer
    x = 193.01

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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.