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Finding the Fourth Proportional to 215.91, 323.46 and 188.78

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Solution

The fourth proportional to 215.91, 323.46 and 188.78 is: 282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.91 : 323.46 = 188.78 : x
  2. Step 2: Convert to fraction form
    215.91/323.46 = 188.78/x
  3. Step 3: Cross multiply
    215.91x = 323.46 × 188.78
  4. Step 4: Simplify right side
    215.91x = 61,061.16
  5. Step 5: Solve for x
    x = 61,061.16/215.91
  6. Step 6: Final answer
    x = 282.81

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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.