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Finding the Fourth Proportional to 214.16, 321.54 and 140.81

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Solution

The fourth proportional to 214.16, 321.54 and 140.81 is: 211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 321.54 = 140.81 : x
  2. Step 2: Convert to fraction form
    214.16/321.54 = 140.81/x
  3. Step 3: Cross multiply
    214.16x = 321.54 × 140.81
  4. Step 4: Simplify right side
    214.16x = 45,273.91
  5. Step 5: Solve for x
    x = 45,273.91/214.16
  6. Step 6: Final answer
    x = 211.41

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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.