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Finding the Fourth Proportional to 161.34, 241.80 and 120.57

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Solution

The fourth proportional to 161.34, 241.80 and 120.57 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.34 : 241.80 = 120.57 : x
  2. Step 2: Convert to fraction form
    161.34/241.80 = 120.57/x
  3. Step 3: Cross multiply
    161.34x = 241.80 × 120.57
  4. Step 4: Simplify right side
    161.34x = 29,153.83
  5. Step 5: Solve for x
    x = 29,153.83/161.34
  6. Step 6: Final answer
    x = 180.70

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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.