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Finding the Fourth Proportional to 242.92, 334.70 and 203.44

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Solution

The fourth proportional to 242.92, 334.70 and 203.44 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.92 : 334.70 = 203.44 : x
  2. Step 2: Convert to fraction form
    242.92/334.70 = 203.44/x
  3. Step 3: Cross multiply
    242.92x = 334.70 × 203.44
  4. Step 4: Simplify right side
    242.92x = 68,091.37
  5. Step 5: Solve for x
    x = 68,091.37/242.92
  6. Step 6: Final answer
    x = 280.30

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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.