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Finding the Fourth Proportional to 214.33, 321.10 and 180.31

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Solution

The fourth proportional to 214.33, 321.10 and 180.31 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.33 : 321.10 = 180.31 : x
  2. Step 2: Convert to fraction form
    214.33/321.10 = 180.31/x
  3. Step 3: Cross multiply
    214.33x = 321.10 × 180.31
  4. Step 4: Simplify right side
    214.33x = 57,897.54
  5. Step 5: Solve for x
    x = 57,897.54/214.33
  6. Step 6: Final answer
    x = 270.13

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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.