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Finding the Fourth Proportional to 360.15, 496.94 and 220.25

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Solution

The fourth proportional to 360.15, 496.94 and 220.25 is: 303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.15 : 496.94 = 220.25 : x
  2. Step 2: Convert to fraction form
    360.15/496.94 = 220.25/x
  3. Step 3: Cross multiply
    360.15x = 496.94 × 220.25
  4. Step 4: Simplify right side
    360.15x = 109,451.18
  5. Step 5: Solve for x
    x = 109,451.18/360.15
  6. Step 6: Final answer
    x = 303.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.