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Finding the Fourth Proportional to 386.66, 579.94 and 178.37

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Solution

The fourth proportional to 386.66, 579.94 and 178.37 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.66 : 579.94 = 178.37 : x
  2. Step 2: Convert to fraction form
    386.66/579.94 = 178.37/x
  3. Step 3: Cross multiply
    386.66x = 579.94 × 178.37
  4. Step 4: Simplify right side
    386.66x = 103,442.73
  5. Step 5: Solve for x
    x = 103,442.73/386.66
  6. Step 6: Final answer
    x = 267.53

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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.