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Finding the Fourth Proportional to 241.02, 361.68 and 180.30

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Solution

The fourth proportional to 241.02, 361.68 and 180.30 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.02 : 361.68 = 180.30 : x
  2. Step 2: Convert to fraction form
    241.02/361.68 = 180.30/x
  3. Step 3: Cross multiply
    241.02x = 361.68 × 180.30
  4. Step 4: Simplify right side
    241.02x = 65,210.90
  5. Step 5: Solve for x
    x = 65,210.90/241.02
  6. Step 6: Final answer
    x = 270.56

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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.