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Finding the Fourth Proportional to 214.66, 322 and 166.24

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Solution

The fourth proportional to 214.66, 322 and 166.24 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.66 : 322 = 166.24 : x
  2. Step 2: Convert to fraction form
    214.66/322 = 166.24/x
  3. Step 3: Cross multiply
    214.66x = 322 × 166.24
  4. Step 4: Simplify right side
    214.66x = 53,529.28
  5. Step 5: Solve for x
    x = 53,529.28/214.66
  6. Step 6: Final answer
    x = 249.37

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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.