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Finding the Fourth Proportional to 257.96, 386.04 and 180.68

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Solution

The fourth proportional to 257.96, 386.04 and 180.68 is: 270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 386.04 = 180.68 : x
  2. Step 2: Convert to fraction form
    257.96/386.04 = 180.68/x
  3. Step 3: Cross multiply
    257.96x = 386.04 × 180.68
  4. Step 4: Simplify right side
    257.96x = 69,749.71
  5. Step 5: Solve for x
    x = 69,749.71/257.96
  6. Step 6: Final answer
    x = 270.39

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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.