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Finding the Fourth Proportional to 161.66, 223 and 134.14

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Solution

The fourth proportional to 161.66, 223 and 134.14 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.66 : 223 = 134.14 : x
  2. Step 2: Convert to fraction form
    161.66/223 = 134.14/x
  3. Step 3: Cross multiply
    161.66x = 223 × 134.14
  4. Step 4: Simplify right side
    161.66x = 29,913.22
  5. Step 5: Solve for x
    x = 29,913.22/161.66
  6. Step 6: Final answer
    x = 185.04

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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.