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Finding the Fourth Proportional to 161.94, 225.03 and 160.26

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Solution

The fourth proportional to 161.94, 225.03 and 160.26 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.94 : 225.03 = 160.26 : x
  2. Step 2: Convert to fraction form
    161.94/225.03 = 160.26/x
  3. Step 3: Cross multiply
    161.94x = 225.03 × 160.26
  4. Step 4: Simplify right side
    161.94x = 36,063.31
  5. Step 5: Solve for x
    x = 36,063.31/161.94
  6. Step 6: Final answer
    x = 222.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.