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Finding the Fourth Proportional to 365.13, 547.77 and 121.68

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Solution

The fourth proportional to 365.13, 547.77 and 121.68 is: 182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.13 : 547.77 = 121.68 : x
  2. Step 2: Convert to fraction form
    365.13/547.77 = 121.68/x
  3. Step 3: Cross multiply
    365.13x = 547.77 × 121.68
  4. Step 4: Simplify right side
    365.13x = 66,652.65
  5. Step 5: Solve for x
    x = 66,652.65/365.13
  6. Step 6: Final answer
    x = 182.54

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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.