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Finding the Fourth Proportional to 243.60, 367.43 and 213.49

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Solution

The fourth proportional to 243.60, 367.43 and 213.49 is: 322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.60 : 367.43 = 213.49 : x
  2. Step 2: Convert to fraction form
    243.60/367.43 = 213.49/x
  3. Step 3: Cross multiply
    243.60x = 367.43 × 213.49
  4. Step 4: Simplify right side
    243.60x = 78,442.63
  5. Step 5: Solve for x
    x = 78,442.63/243.60
  6. Step 6: Final answer
    x = 322.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.