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Finding the Fourth Proportional to 175.87, 241.99 and 161.47

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Solution

The fourth proportional to 175.87, 241.99 and 161.47 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.87 : 241.99 = 161.47 : x
  2. Step 2: Convert to fraction form
    175.87/241.99 = 161.47/x
  3. Step 3: Cross multiply
    175.87x = 241.99 × 161.47
  4. Step 4: Simplify right side
    175.87x = 39,074.13
  5. Step 5: Solve for x
    x = 39,074.13/175.87
  6. Step 6: Final answer
    x = 222.18

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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.