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Finding the Fourth Proportional to 207.92, 309.70 and 203.41

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Solution

The fourth proportional to 207.92, 309.70 and 203.41 is: 302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 309.70 = 203.41 : x
  2. Step 2: Convert to fraction form
    207.92/309.70 = 203.41/x
  3. Step 3: Cross multiply
    207.92x = 309.70 × 203.41
  4. Step 4: Simplify right side
    207.92x = 62,996.15
  5. Step 5: Solve for x
    x = 62,996.15/207.92
  6. Step 6: Final answer
    x = 302.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.