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Finding the Fourth Proportional to 216.91, 325.18 and 180.65

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Solution

The fourth proportional to 216.91, 325.18 and 180.65 is: 270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.91 : 325.18 = 180.65 : x
  2. Step 2: Convert to fraction form
    216.91/325.18 = 180.65/x
  3. Step 3: Cross multiply
    216.91x = 325.18 × 180.65
  4. Step 4: Simplify right side
    216.91x = 58,743.77
  5. Step 5: Solve for x
    x = 58,743.77/216.91
  6. Step 6: Final answer
    x = 270.82

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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.