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Finding the Fourth Proportional to 163.52, 245.11 and 98.36

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Solution

The fourth proportional to 163.52, 245.11 and 98.36 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.52 : 245.11 = 98.36 : x
  2. Step 2: Convert to fraction form
    163.52/245.11 = 98.36/x
  3. Step 3: Cross multiply
    163.52x = 245.11 × 98.36
  4. Step 4: Simplify right side
    163.52x = 24,109.02
  5. Step 5: Solve for x
    x = 24,109.02/163.52
  6. Step 6: Final answer
    x = 147.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.