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Finding the Fourth Proportional to 360.85, 541.20 and 165.80

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Solution

The fourth proportional to 360.85, 541.20 and 165.80 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.85 : 541.20 = 165.80 : x
  2. Step 2: Convert to fraction form
    360.85/541.20 = 165.80/x
  3. Step 3: Cross multiply
    360.85x = 541.20 × 165.80
  4. Step 4: Simplify right side
    360.85x = 89,728.25
  5. Step 5: Solve for x
    x = 89,728.25/360.85
  6. Step 6: Final answer
    x = 248.66

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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.