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Finding the Fourth Proportional to 163.20, 225.16 and 114.16

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Solution

The fourth proportional to 163.20, 225.16 and 114.16 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 225.16 = 114.16 : x
  2. Step 2: Convert to fraction form
    163.20/225.16 = 114.16/x
  3. Step 3: Cross multiply
    163.20x = 225.16 × 114.16
  4. Step 4: Simplify right side
    163.20x = 25,704.27
  5. Step 5: Solve for x
    x = 25,704.27/163.20
  6. Step 6: Final answer
    x = 157.50

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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.