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Finding the Fourth Proportional to 288.32, 397.67 and 183.31

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Solution

The fourth proportional to 288.32, 397.67 and 183.31 is: 252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.32 : 397.67 = 183.31 : x
  2. Step 2: Convert to fraction form
    288.32/397.67 = 183.31/x
  3. Step 3: Cross multiply
    288.32x = 397.67 × 183.31
  4. Step 4: Simplify right side
    288.32x = 72,894.98
  5. Step 5: Solve for x
    x = 72,894.98/288.32
  6. Step 6: Final answer
    x = 252.83

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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.