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Finding the Fourth Proportional to 255.39, 383.02 and 72.73

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Solution

The fourth proportional to 255.39, 383.02 and 72.73 is: 109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.39 : 383.02 = 72.73 : x
  2. Step 2: Convert to fraction form
    255.39/383.02 = 72.73/x
  3. Step 3: Cross multiply
    255.39x = 383.02 × 72.73
  4. Step 4: Simplify right side
    255.39x = 27,857.04
  5. Step 5: Solve for x
    x = 27,857.04/255.39
  6. Step 6: Final answer
    x = 109.08

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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.