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Finding the Fourth Proportional to 163.73, 245.75 and 146.35

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Solution

The fourth proportional to 163.73, 245.75 and 146.35 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.73 : 245.75 = 146.35 : x
  2. Step 2: Convert to fraction form
    163.73/245.75 = 146.35/x
  3. Step 3: Cross multiply
    163.73x = 245.75 × 146.35
  4. Step 4: Simplify right side
    163.73x = 35,965.09
  5. Step 5: Solve for x
    x = 35,965.09/163.73
  6. Step 6: Final answer
    x = 219.66

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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.