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Finding the Fourth Proportional to 243.14, 365.07 and 214.49

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Solution

The fourth proportional to 243.14, 365.07 and 214.49 is: 322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.14 : 365.07 = 214.49 : x
  2. Step 2: Convert to fraction form
    243.14/365.07 = 214.49/x
  3. Step 3: Cross multiply
    243.14x = 365.07 × 214.49
  4. Step 4: Simplify right side
    243.14x = 78,302.04
  5. Step 5: Solve for x
    x = 78,302.04/243.14
  6. Step 6: Final answer
    x = 322.05

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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.