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Finding the Fourth Proportional to 486.27, 729.39 and 121.06

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Solution

The fourth proportional to 486.27, 729.39 and 121.06 is: 181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.27 : 729.39 = 121.06 : x
  2. Step 2: Convert to fraction form
    486.27/729.39 = 121.06/x
  3. Step 3: Cross multiply
    486.27x = 729.39 × 121.06
  4. Step 4: Simplify right side
    486.27x = 88,299.95
  5. Step 5: Solve for x
    x = 88,299.95/486.27
  6. Step 6: Final answer
    x = 181.59

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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.