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Finding the Fourth Proportional to 241.39, 361.72 and 164.08

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Solution

The fourth proportional to 241.39, 361.72 and 164.08 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.39 : 361.72 = 164.08 : x
  2. Step 2: Convert to fraction form
    241.39/361.72 = 164.08/x
  3. Step 3: Cross multiply
    241.39x = 361.72 × 164.08
  4. Step 4: Simplify right side
    241.39x = 59,351.02
  5. Step 5: Solve for x
    x = 59,351.02/241.39
  6. Step 6: Final answer
    x = 245.88

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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.