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Finding the Fourth Proportional to 161.84, 223.76 and 132.54

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Solution

The fourth proportional to 161.84, 223.76 and 132.54 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.84 : 223.76 = 132.54 : x
  2. Step 2: Convert to fraction form
    161.84/223.76 = 132.54/x
  3. Step 3: Cross multiply
    161.84x = 223.76 × 132.54
  4. Step 4: Simplify right side
    161.84x = 29,657.15
  5. Step 5: Solve for x
    x = 29,657.15/161.84
  6. Step 6: Final answer
    x = 183.25

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Why These Related Problems?

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