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Finding the Fourth Proportional to 288.66, 398.43 and 201.30

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Solution

The fourth proportional to 288.66, 398.43 and 201.30 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.66 : 398.43 = 201.30 : x
  2. Step 2: Convert to fraction form
    288.66/398.43 = 201.30/x
  3. Step 3: Cross multiply
    288.66x = 398.43 × 201.30
  4. Step 4: Simplify right side
    288.66x = 80,203.96
  5. Step 5: Solve for x
    x = 80,203.96/288.66
  6. Step 6: Final answer
    x = 277.85

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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.