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Finding the Fourth Proportional to 214.23, 321.36 and 77.28

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Solution

The fourth proportional to 214.23, 321.36 and 77.28 is: 115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.23 : 321.36 = 77.28 : x
  2. Step 2: Convert to fraction form
    214.23/321.36 = 77.28/x
  3. Step 3: Cross multiply
    214.23x = 321.36 × 77.28
  4. Step 4: Simplify right side
    214.23x = 24,834.70
  5. Step 5: Solve for x
    x = 24,834.70/214.23
  6. Step 6: Final answer
    x = 115.93

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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.