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Finding the Fourth Proportional to 220.14, 328.43 and 214.38

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Solution

The fourth proportional to 220.14, 328.43 and 214.38 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.14 : 328.43 = 214.38 : x
  2. Step 2: Convert to fraction form
    220.14/328.43 = 214.38/x
  3. Step 3: Cross multiply
    220.14x = 328.43 × 214.38
  4. Step 4: Simplify right side
    220.14x = 70,407.75
  5. Step 5: Solve for x
    x = 70,407.75/220.14
  6. Step 6: Final answer
    x = 319.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.