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Finding the Fourth Proportional to 289.41, 399.27 and 202.14

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Solution

The fourth proportional to 289.41, 399.27 and 202.14 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 399.27 = 202.14 : x
  2. Step 2: Convert to fraction form
    289.41/399.27 = 202.14/x
  3. Step 3: Cross multiply
    289.41x = 399.27 × 202.14
  4. Step 4: Simplify right side
    289.41x = 80,708.44
  5. Step 5: Solve for x
    x = 80,708.44/289.41
  6. Step 6: Final answer
    x = 278.87

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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.