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Finding the Fourth Proportional to 243.46, 335.64 and 199.72

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Solution

The fourth proportional to 243.46, 335.64 and 199.72 is: 275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.46 : 335.64 = 199.72 : x
  2. Step 2: Convert to fraction form
    243.46/335.64 = 199.72/x
  3. Step 3: Cross multiply
    243.46x = 335.64 × 199.72
  4. Step 4: Simplify right side
    243.46x = 67,034.02
  5. Step 5: Solve for x
    x = 67,034.02/243.46
  6. Step 6: Final answer
    x = 275.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.