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Finding the Fourth Proportional to 255.60, 350.15 and 233.73

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Solution

The fourth proportional to 255.60, 350.15 and 233.73 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 350.15 = 233.73 : x
  2. Step 2: Convert to fraction form
    255.60/350.15 = 233.73/x
  3. Step 3: Cross multiply
    255.60x = 350.15 × 233.73
  4. Step 4: Simplify right side
    255.60x = 81,839.39
  5. Step 5: Solve for x
    x = 81,839.39/255.60
  6. Step 6: Final answer
    x = 320.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.