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Finding the Fourth Proportional to 386.18, 579.62 and 180.87

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Solution

The fourth proportional to 386.18, 579.62 and 180.87 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.18 : 579.62 = 180.87 : x
  2. Step 2: Convert to fraction form
    386.18/579.62 = 180.87/x
  3. Step 3: Cross multiply
    386.18x = 579.62 × 180.87
  4. Step 4: Simplify right side
    386.18x = 104,836.32
  5. Step 5: Solve for x
    x = 104,836.32/386.18
  6. Step 6: Final answer
    x = 271.47

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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.