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Finding the Fourth Proportional to 214.78, 321.43 and 180.58

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Solution

The fourth proportional to 214.78, 321.43 and 180.58 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 321.43 = 180.58 : x
  2. Step 2: Convert to fraction form
    214.78/321.43 = 180.58/x
  3. Step 3: Cross multiply
    214.78x = 321.43 × 180.58
  4. Step 4: Simplify right side
    214.78x = 58,043.83
  5. Step 5: Solve for x
    x = 58,043.83/214.78
  6. Step 6: Final answer
    x = 270.25

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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.