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Finding the Fourth Proportional to 270.68, 406.02 and 209.63

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Solution

The fourth proportional to 270.68, 406.02 and 209.63 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 406.02 = 209.63 : x
  2. Step 2: Convert to fraction form
    270.68/406.02 = 209.63/x
  3. Step 3: Cross multiply
    270.68x = 406.02 × 209.63
  4. Step 4: Simplify right side
    270.68x = 85,111.94
  5. Step 5: Solve for x
    x = 85,111.94/270.68
  6. Step 6: Final answer
    x = 314.44

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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.