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Finding the Fourth Proportional to 243.94, 336.96 and 209.32

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Solution

The fourth proportional to 243.94, 336.96 and 209.32 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 336.96 = 209.32 : x
  2. Step 2: Convert to fraction form
    243.94/336.96 = 209.32/x
  3. Step 3: Cross multiply
    243.94x = 336.96 × 209.32
  4. Step 4: Simplify right side
    243.94x = 70,532.47
  5. Step 5: Solve for x
    x = 70,532.47/243.94
  6. Step 6: Final answer
    x = 289.14

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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.