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Finding the Fourth Proportional to 241.06, 361.45 and 78.66

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Solution

The fourth proportional to 241.06, 361.45 and 78.66 is: 117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.06 : 361.45 = 78.66 : x
  2. Step 2: Convert to fraction form
    241.06/361.45 = 78.66/x
  3. Step 3: Cross multiply
    241.06x = 361.45 × 78.66
  4. Step 4: Simplify right side
    241.06x = 28,431.66
  5. Step 5: Solve for x
    x = 28,431.66/241.06
  6. Step 6: Final answer
    x = 117.94

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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.