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Finding the Fourth Proportional to 235.80, 327.24 and 230

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Solution

The fourth proportional to 235.80, 327.24 and 230 is: 319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 327.24 = 230 : x
  2. Step 2: Convert to fraction form
    235.80/327.24 = 230/x
  3. Step 3: Cross multiply
    235.80x = 327.24 × 230
  4. Step 4: Simplify right side
    235.80x = 75,265.20
  5. Step 5: Solve for x
    x = 75,265.20/235.80
  6. Step 6: Final answer
    x = 319.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.