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Finding the Fourth Proportional to 291.27, 437.05 and 161.24

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Solution

The fourth proportional to 291.27, 437.05 and 161.24 is: 241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.27 : 437.05 = 161.24 : x
  2. Step 2: Convert to fraction form
    291.27/437.05 = 161.24/x
  3. Step 3: Cross multiply
    291.27x = 437.05 × 161.24
  4. Step 4: Simplify right side
    291.27x = 70,469.66
  5. Step 5: Solve for x
    x = 70,469.66/291.27
  6. Step 6: Final answer
    x = 241.94

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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.