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Finding the Fourth Proportional to 365.98, 505.17 and 241.75

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Solution

The fourth proportional to 365.98, 505.17 and 241.75 is: 333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.98 : 505.17 = 241.75 : x
  2. Step 2: Convert to fraction form
    365.98/505.17 = 241.75/x
  3. Step 3: Cross multiply
    365.98x = 505.17 × 241.75
  4. Step 4: Simplify right side
    365.98x = 122,124.85
  5. Step 5: Solve for x
    x = 122,124.85/365.98
  6. Step 6: Final answer
    x = 333.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.