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Finding the Fourth Proportional to 288.24, 397.32 and 189.96

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Solution

The fourth proportional to 288.24, 397.32 and 189.96 is: 261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 397.32 = 189.96 : x
  2. Step 2: Convert to fraction form
    288.24/397.32 = 189.96/x
  3. Step 3: Cross multiply
    288.24x = 397.32 × 189.96
  4. Step 4: Simplify right side
    288.24x = 75,474.91
  5. Step 5: Solve for x
    x = 75,474.91/288.24
  6. Step 6: Final answer
    x = 261.85

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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.