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Finding the Fourth Proportional to 214.11, 320.84 and 111.24

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Solution

The fourth proportional to 214.11, 320.84 and 111.24 is: 166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.11 : 320.84 = 111.24 : x
  2. Step 2: Convert to fraction form
    214.11/320.84 = 111.24/x
  3. Step 3: Cross multiply
    214.11x = 320.84 × 111.24
  4. Step 4: Simplify right side
    214.11x = 35,689.69
  5. Step 5: Solve for x
    x = 35,689.69/214.11
  6. Step 6: Final answer
    x = 166.69

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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.