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Finding the Fourth Proportional to 386.20, 579.56 and 155.12

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Solution

The fourth proportional to 386.20, 579.56 and 155.12 is: 232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 579.56 = 155.12 : x
  2. Step 2: Convert to fraction form
    386.20/579.56 = 155.12/x
  3. Step 3: Cross multiply
    386.20x = 579.56 × 155.12
  4. Step 4: Simplify right side
    386.20x = 89,901.35
  5. Step 5: Solve for x
    x = 89,901.35/386.20
  6. Step 6: Final answer
    x = 232.78

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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.