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Finding the Fourth Proportional to 268.42, 402.87 and 207.94

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Solution

The fourth proportional to 268.42, 402.87 and 207.94 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.42 : 402.87 = 207.94 : x
  2. Step 2: Convert to fraction form
    268.42/402.87 = 207.94/x
  3. Step 3: Cross multiply
    268.42x = 402.87 × 207.94
  4. Step 4: Simplify right side
    268.42x = 83,772.79
  5. Step 5: Solve for x
    x = 83,772.79/268.42
  6. Step 6: Final answer
    x = 312.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.