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Finding the Fourth Proportional to 241.34, 361.63 and 164.03

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Solution

The fourth proportional to 241.34, 361.63 and 164.03 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.34 : 361.63 = 164.03 : x
  2. Step 2: Convert to fraction form
    241.34/361.63 = 164.03/x
  3. Step 3: Cross multiply
    241.34x = 361.63 × 164.03
  4. Step 4: Simplify right side
    241.34x = 59,318.17
  5. Step 5: Solve for x
    x = 59,318.17/241.34
  6. Step 6: Final answer
    x = 245.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.