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Finding the Fourth Proportional to 486.39, 729.60 and 121.19

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Solution

The fourth proportional to 486.39, 729.60 and 121.19 is: 181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.39 : 729.60 = 121.19 : x
  2. Step 2: Convert to fraction form
    486.39/729.60 = 121.19/x
  3. Step 3: Cross multiply
    486.39x = 729.60 × 121.19
  4. Step 4: Simplify right side
    486.39x = 88,416.58
  5. Step 5: Solve for x
    x = 88,416.58/486.39
  6. Step 6: Final answer
    x = 181.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.