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Finding the Fourth Proportional to 175.98, 241.84 and 144.84

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Solution

The fourth proportional to 175.98, 241.84 and 144.84 is: 199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.98 : 241.84 = 144.84 : x
  2. Step 2: Convert to fraction form
    175.98/241.84 = 144.84/x
  3. Step 3: Cross multiply
    175.98x = 241.84 × 144.84
  4. Step 4: Simplify right side
    175.98x = 35,028.11
  5. Step 5: Solve for x
    x = 35,028.11/175.98
  6. Step 6: Final answer
    x = 199.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.