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Finding the Fourth Proportional to 240.08, 359.52 and 230.96

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Solution

The fourth proportional to 240.08, 359.52 and 230.96 is: 345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.08 : 359.52 = 230.96 : x
  2. Step 2: Convert to fraction form
    240.08/359.52 = 230.96/x
  3. Step 3: Cross multiply
    240.08x = 359.52 × 230.96
  4. Step 4: Simplify right side
    240.08x = 83,034.74
  5. Step 5: Solve for x
    x = 83,034.74/240.08
  6. Step 6: Final answer
    x = 345.86

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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.