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Finding the Fourth Proportional to 214.19, 321.17 and 84.24

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Solution

The fourth proportional to 214.19, 321.17 and 84.24 is: 126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 321.17 = 84.24 : x
  2. Step 2: Convert to fraction form
    214.19/321.17 = 84.24/x
  3. Step 3: Cross multiply
    214.19x = 321.17 × 84.24
  4. Step 4: Simplify right side
    214.19x = 27,054.94
  5. Step 5: Solve for x
    x = 27,054.94/214.19
  6. Step 6: Final answer
    x = 126.32

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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.