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Finding the Fourth Proportional to 163.35, 225.65 and 154.71

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Solution

The fourth proportional to 163.35, 225.65 and 154.71 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.35 : 225.65 = 154.71 : x
  2. Step 2: Convert to fraction form
    163.35/225.65 = 154.71/x
  3. Step 3: Cross multiply
    163.35x = 225.65 × 154.71
  4. Step 4: Simplify right side
    163.35x = 34,910.70
  5. Step 5: Solve for x
    x = 34,910.70/163.35
  6. Step 6: Final answer
    x = 213.72

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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.