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Finding the Fourth Proportional to 241.06, 361.61 and 78.71

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Solution

The fourth proportional to 241.06, 361.61 and 78.71 is: 118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.06 : 361.61 = 78.71 : x
  2. Step 2: Convert to fraction form
    241.06/361.61 = 78.71/x
  3. Step 3: Cross multiply
    241.06x = 361.61 × 78.71
  4. Step 4: Simplify right side
    241.06x = 28,460.86
  5. Step 5: Solve for x
    x = 28,460.86/241.06
  6. Step 6: Final answer
    x = 118.07

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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.