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Finding the Fourth Proportional to 325.14, 486.93 and 180.78

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Solution

The fourth proportional to 325.14, 486.93 and 180.78 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.14 : 486.93 = 180.78 : x
  2. Step 2: Convert to fraction form
    325.14/486.93 = 180.78/x
  3. Step 3: Cross multiply
    325.14x = 486.93 × 180.78
  4. Step 4: Simplify right side
    325.14x = 88,027.21
  5. Step 5: Solve for x
    x = 88,027.21/325.14
  6. Step 6: Final answer
    x = 270.74

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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.