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Finding the Fourth Proportional to 163.15, 225.19 and 146.75

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Solution

The fourth proportional to 163.15, 225.19 and 146.75 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.15 : 225.19 = 146.75 : x
  2. Step 2: Convert to fraction form
    163.15/225.19 = 146.75/x
  3. Step 3: Cross multiply
    163.15x = 225.19 × 146.75
  4. Step 4: Simplify right side
    163.15x = 33,046.63
  5. Step 5: Solve for x
    x = 33,046.63/163.15
  6. Step 6: Final answer
    x = 202.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.