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Finding the Fourth Proportional to 360.09, 496.62 and 220.14

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Solution

The fourth proportional to 360.09, 496.62 and 220.14 is: 303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 496.62 = 220.14 : x
  2. Step 2: Convert to fraction form
    360.09/496.62 = 220.14/x
  3. Step 3: Cross multiply
    360.09x = 496.62 × 220.14
  4. Step 4: Simplify right side
    360.09x = 109,325.93
  5. Step 5: Solve for x
    x = 109,325.93/360.09
  6. Step 6: Final answer
    x = 303.61

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