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Finding the Fourth Proportional to 295.88, 408.46 and 202.76

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Solution

The fourth proportional to 295.88, 408.46 and 202.76 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.88 : 408.46 = 202.76 : x
  2. Step 2: Convert to fraction form
    295.88/408.46 = 202.76/x
  3. Step 3: Cross multiply
    295.88x = 408.46 × 202.76
  4. Step 4: Simplify right side
    295.88x = 82,819.35
  5. Step 5: Solve for x
    x = 82,819.35/295.88
  6. Step 6: Final answer
    x = 279.91

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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.