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Finding the Fourth Proportional to 163.35, 225.40 and 97.82

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Solution

The fourth proportional to 163.35, 225.40 and 97.82 is: 134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.35 : 225.40 = 97.82 : x
  2. Step 2: Convert to fraction form
    163.35/225.40 = 97.82/x
  3. Step 3: Cross multiply
    163.35x = 225.40 × 97.82
  4. Step 4: Simplify right side
    163.35x = 22,048.63
  5. Step 5: Solve for x
    x = 22,048.63/163.35
  6. Step 6: Final answer
    x = 134.98

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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.