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Finding the Fourth Proportional to 270.92, 374.05 and 208.64

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Solution

The fourth proportional to 270.92, 374.05 and 208.64 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 374.05 = 208.64 : x
  2. Step 2: Convert to fraction form
    270.92/374.05 = 208.64/x
  3. Step 3: Cross multiply
    270.92x = 374.05 × 208.64
  4. Step 4: Simplify right side
    270.92x = 78,042.21
  5. Step 5: Solve for x
    x = 78,042.21/270.92
  6. Step 6: Final answer
    x = 288.06

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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.