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Finding the Fourth Proportional to 296.87, 409.76 and 203.92

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Solution

The fourth proportional to 296.87, 409.76 and 203.92 is: 281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.87 : 409.76 = 203.92 : x
  2. Step 2: Convert to fraction form
    296.87/409.76 = 203.92/x
  3. Step 3: Cross multiply
    296.87x = 409.76 × 203.92
  4. Step 4: Simplify right side
    296.87x = 83,556.98
  5. Step 5: Solve for x
    x = 83,556.98/296.87
  6. Step 6: Final answer
    x = 281.46

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