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Finding the Fourth Proportional to 241.24, 361.56 and 164.02

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Solution

The fourth proportional to 241.24, 361.56 and 164.02 is: 245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.24 : 361.56 = 164.02 : x
  2. Step 2: Convert to fraction form
    241.24/361.56 = 164.02/x
  3. Step 3: Cross multiply
    241.24x = 361.56 × 164.02
  4. Step 4: Simplify right side
    241.24x = 59,303.07
  5. Step 5: Solve for x
    x = 59,303.07/241.24
  6. Step 6: Final answer
    x = 245.83

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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.