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Finding the Fourth Proportional to 214.72, 321.60 and 180.54

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Solution

The fourth proportional to 214.72, 321.60 and 180.54 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 321.60 = 180.54 : x
  2. Step 2: Convert to fraction form
    214.72/321.60 = 180.54/x
  3. Step 3: Cross multiply
    214.72x = 321.60 × 180.54
  4. Step 4: Simplify right side
    214.72x = 58,061.66
  5. Step 5: Solve for x
    x = 58,061.66/214.72
  6. Step 6: Final answer
    x = 270.41

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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.