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Finding the Fourth Proportional to 161.91, 243.05 and 145.08

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Solution

The fourth proportional to 161.91, 243.05 and 145.08 is: 217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 243.05 = 145.08 : x
  2. Step 2: Convert to fraction form
    161.91/243.05 = 145.08/x
  3. Step 3: Cross multiply
    161.91x = 243.05 × 145.08
  4. Step 4: Simplify right side
    161.91x = 35,261.69
  5. Step 5: Solve for x
    x = 35,261.69/161.91
  6. Step 6: Final answer
    x = 217.79

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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.