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Finding the Fourth Proportional to 161.28, 242.19 and 110.25

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Solution

The fourth proportional to 161.28, 242.19 and 110.25 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.28 : 242.19 = 110.25 : x
  2. Step 2: Convert to fraction form
    161.28/242.19 = 110.25/x
  3. Step 3: Cross multiply
    161.28x = 242.19 × 110.25
  4. Step 4: Simplify right side
    161.28x = 26,701.45
  5. Step 5: Solve for x
    x = 26,701.45/161.28
  6. Step 6: Final answer
    x = 165.56

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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.