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Finding the Fourth Proportional to 163.28, 245.80 and 140.95

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Solution

The fourth proportional to 163.28, 245.80 and 140.95 is: 212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.28 : 245.80 = 140.95 : x
  2. Step 2: Convert to fraction form
    163.28/245.80 = 140.95/x
  3. Step 3: Cross multiply
    163.28x = 245.80 × 140.95
  4. Step 4: Simplify right side
    163.28x = 34,645.51
  5. Step 5: Solve for x
    x = 34,645.51/163.28
  6. Step 6: Final answer
    x = 212.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.