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Finding the Fourth Proportional to 215.72, 323.97 and 160.91

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Solution

The fourth proportional to 215.72, 323.97 and 160.91 is: 241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.72 : 323.97 = 160.91 : x
  2. Step 2: Convert to fraction form
    215.72/323.97 = 160.91/x
  3. Step 3: Cross multiply
    215.72x = 323.97 × 160.91
  4. Step 4: Simplify right side
    215.72x = 52,130.01
  5. Step 5: Solve for x
    x = 52,130.01/215.72
  6. Step 6: Final answer
    x = 241.66

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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.