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Finding the Fourth Proportional to 386.34, 579.14 and 180.80

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Solution

The fourth proportional to 386.34, 579.14 and 180.80 is: 271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.34 : 579.14 = 180.80 : x
  2. Step 2: Convert to fraction form
    386.34/579.14 = 180.80/x
  3. Step 3: Cross multiply
    386.34x = 579.14 × 180.80
  4. Step 4: Simplify right side
    386.34x = 104,708.51
  5. Step 5: Solve for x
    x = 104,708.51/386.34
  6. Step 6: Final answer
    x = 271.03

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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.