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Finding the Fourth Proportional to 214.53, 321.78 and 77.57

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Solution

The fourth proportional to 214.53, 321.78 and 77.57 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.53 : 321.78 = 77.57 : x
  2. Step 2: Convert to fraction form
    214.53/321.78 = 77.57/x
  3. Step 3: Cross multiply
    214.53x = 321.78 × 77.57
  4. Step 4: Simplify right side
    214.53x = 24,958.48
  5. Step 5: Solve for x
    x = 24,958.48/214.53
  6. Step 6: Final answer
    x = 116.34

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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.