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Finding the Fourth Proportional to 214.73, 322.09 and 142.57

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Solution

The fourth proportional to 214.73, 322.09 and 142.57 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.73 : 322.09 = 142.57 : x
  2. Step 2: Convert to fraction form
    214.73/322.09 = 142.57/x
  3. Step 3: Cross multiply
    214.73x = 322.09 × 142.57
  4. Step 4: Simplify right side
    214.73x = 45,918.05
  5. Step 5: Solve for x
    x = 45,918.05/214.73
  6. Step 6: Final answer
    x = 213.85

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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.