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Finding the Fourth Proportional to 214.40, 322.21 and 142.71

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Solution

The fourth proportional to 214.40, 322.21 and 142.71 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 322.21 = 142.71 : x
  2. Step 2: Convert to fraction form
    214.40/322.21 = 142.71/x
  3. Step 3: Cross multiply
    214.40x = 322.21 × 142.71
  4. Step 4: Simplify right side
    214.40x = 45,982.23
  5. Step 5: Solve for x
    x = 45,982.23/214.40
  6. Step 6: Final answer
    x = 214.47

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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.