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Finding the Fourth Proportional to 360.32, 539.86 and 165

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Solution

The fourth proportional to 360.32, 539.86 and 165 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 539.86 = 165 : x
  2. Step 2: Convert to fraction form
    360.32/539.86 = 165/x
  3. Step 3: Cross multiply
    360.32x = 539.86 × 165
  4. Step 4: Simplify right side
    360.32x = 89,076.90
  5. Step 5: Solve for x
    x = 89,076.90/360.32
  6. Step 6: Final answer
    x = 247.22

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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.