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Finding the Fourth Proportional to 230.80, 346.08 and 170.56

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Solution

The fourth proportional to 230.80, 346.08 and 170.56 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 346.08 = 170.56 : x
  2. Step 2: Convert to fraction form
    230.80/346.08 = 170.56/x
  3. Step 3: Cross multiply
    230.80x = 346.08 × 170.56
  4. Step 4: Simplify right side
    230.80x = 59,027.40
  5. Step 5: Solve for x
    x = 59,027.40/230.80
  6. Step 6: Final answer
    x = 255.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.