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Finding the Fourth Proportional to 175.20, 241.82 and 108.84

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Solution

The fourth proportional to 175.20, 241.82 and 108.84 is: 150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 241.82 = 108.84 : x
  2. Step 2: Convert to fraction form
    175.20/241.82 = 108.84/x
  3. Step 3: Cross multiply
    175.20x = 241.82 × 108.84
  4. Step 4: Simplify right side
    175.20x = 26,319.14
  5. Step 5: Solve for x
    x = 26,319.14/175.20
  6. Step 6: Final answer
    x = 150.22

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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.