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Finding the Fourth Proportional to 243.78, 364.97 and 224.64

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Solution

The fourth proportional to 243.78, 364.97 and 224.64 is: 336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.78 : 364.97 = 224.64 : x
  2. Step 2: Convert to fraction form
    243.78/364.97 = 224.64/x
  3. Step 3: Cross multiply
    243.78x = 364.97 × 224.64
  4. Step 4: Simplify right side
    243.78x = 81,987.42
  5. Step 5: Solve for x
    x = 81,987.42/243.78
  6. Step 6: Final answer
    x = 336.32

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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.