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Finding the Fourth Proportional to 214.65, 321.17 and 180.41

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Solution

The fourth proportional to 214.65, 321.17 and 180.41 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 321.17 = 180.41 : x
  2. Step 2: Convert to fraction form
    214.65/321.17 = 180.41/x
  3. Step 3: Cross multiply
    214.65x = 321.17 × 180.41
  4. Step 4: Simplify right side
    214.65x = 57,939.77
  5. Step 5: Solve for x
    x = 57,939.77/214.65
  6. Step 6: Final answer
    x = 269.93

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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.