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Finding the Fourth Proportional to 214.25, 321.41 and 127.65

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Solution

The fourth proportional to 214.25, 321.41 and 127.65 is: 191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 321.41 = 127.65 : x
  2. Step 2: Convert to fraction form
    214.25/321.41 = 127.65/x
  3. Step 3: Cross multiply
    214.25x = 321.41 × 127.65
  4. Step 4: Simplify right side
    214.25x = 41,027.35
  5. Step 5: Solve for x
    x = 41,027.35/214.25
  6. Step 6: Final answer
    x = 191.50

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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.