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Finding the Fourth Proportional to 288.31, 398.00 and 170.30

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Solution

The fourth proportional to 288.31, 398.00 and 170.30 is: 235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.31 : 398.00 = 170.30 : x
  2. Step 2: Convert to fraction form
    288.31/398.00 = 170.30/x
  3. Step 3: Cross multiply
    288.31x = 398.00 × 170.30
  4. Step 4: Simplify right side
    288.31x = 67,776.56
  5. Step 5: Solve for x
    x = 67,776.56/288.31
  6. Step 6: Final answer
    x = 235.09

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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.