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Finding the Fourth Proportional to 287.96, 397.47 and 200.66

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Solution

The fourth proportional to 287.96, 397.47 and 200.66 is: 276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.96 : 397.47 = 200.66 : x
  2. Step 2: Convert to fraction form
    287.96/397.47 = 200.66/x
  3. Step 3: Cross multiply
    287.96x = 397.47 × 200.66
  4. Step 4: Simplify right side
    287.96x = 79,756.33
  5. Step 5: Solve for x
    x = 79,756.33/287.96
  6. Step 6: Final answer
    x = 276.97

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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.