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Finding the Fourth Proportional to 241, 361.82 and 165.16

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Solution

The fourth proportional to 241, 361.82 and 165.16 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 361.82 = 165.16 : x
  2. Step 2: Convert to fraction form
    241/361.82 = 165.16/x
  3. Step 3: Cross multiply
    241x = 361.82 × 165.16
  4. Step 4: Simplify right side
    241x = 59,758.19
  5. Step 5: Solve for x
    x = 59,758.19/241
  6. Step 6: Final answer
    x = 247.96

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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.