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Finding the Fourth Proportional to 295.62, 408.38 and 208.14

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Solution

The fourth proportional to 295.62, 408.38 and 208.14 is: 287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.62 : 408.38 = 208.14 : x
  2. Step 2: Convert to fraction form
    295.62/408.38 = 208.14/x
  3. Step 3: Cross multiply
    295.62x = 408.38 × 208.14
  4. Step 4: Simplify right side
    295.62x = 85,000.21
  5. Step 5: Solve for x
    x = 85,000.21/295.62
  6. Step 6: Final answer
    x = 287.53

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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.