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Finding the Fourth Proportional to 243.98, 364.65 and 224.52

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Solution

The fourth proportional to 243.98, 364.65 and 224.52 is: 335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.98 : 364.65 = 224.52 : x
  2. Step 2: Convert to fraction form
    243.98/364.65 = 224.52/x
  3. Step 3: Cross multiply
    243.98x = 364.65 × 224.52
  4. Step 4: Simplify right side
    243.98x = 81,871.22
  5. Step 5: Solve for x
    x = 81,871.22/243.98
  6. Step 6: Final answer
    x = 335.57

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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.