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Finding the Fourth Proportional to 386.27, 579.40 and 180.98

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Solution

The fourth proportional to 386.27, 579.40 and 180.98 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.27 : 579.40 = 180.98 : x
  2. Step 2: Convert to fraction form
    386.27/579.40 = 180.98/x
  3. Step 3: Cross multiply
    386.27x = 579.40 × 180.98
  4. Step 4: Simplify right side
    386.27x = 104,860.26
  5. Step 5: Solve for x
    x = 104,860.26/386.27
  6. Step 6: Final answer
    x = 271.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.