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Finding the Fourth Proportional to 287.34, 396.69 and 199.86

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Solution

The fourth proportional to 287.34, 396.69 and 199.86 is: 275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.34 : 396.69 = 199.86 : x
  2. Step 2: Convert to fraction form
    287.34/396.69 = 199.86/x
  3. Step 3: Cross multiply
    287.34x = 396.69 × 199.86
  4. Step 4: Simplify right side
    287.34x = 79,282.46
  5. Step 5: Solve for x
    x = 79,282.46/287.34
  6. Step 6: Final answer
    x = 275.92

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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.