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Finding the Fourth Proportional to 161.90, 243.26 and 146.92

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Solution

The fourth proportional to 161.90, 243.26 and 146.92 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.90 : 243.26 = 146.92 : x
  2. Step 2: Convert to fraction form
    161.90/243.26 = 146.92/x
  3. Step 3: Cross multiply
    161.90x = 243.26 × 146.92
  4. Step 4: Simplify right side
    161.90x = 35,739.76
  5. Step 5: Solve for x
    x = 35,739.76/161.90
  6. Step 6: Final answer
    x = 220.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.