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Finding the Fourth Proportional to 287.60, 396.92 and 199.08

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Solution

The fourth proportional to 287.60, 396.92 and 199.08 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.60 : 396.92 = 199.08 : x
  2. Step 2: Convert to fraction form
    287.60/396.92 = 199.08/x
  3. Step 3: Cross multiply
    287.60x = 396.92 × 199.08
  4. Step 4: Simplify right side
    287.60x = 79,018.83
  5. Step 5: Solve for x
    x = 79,018.83/287.60
  6. Step 6: Final answer
    x = 274.75

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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.