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Finding the Fourth Proportional to 365.09, 547.67 and 121.64

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Solution

The fourth proportional to 365.09, 547.67 and 121.64 is: 182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.09 : 547.67 = 121.64 : x
  2. Step 2: Convert to fraction form
    365.09/547.67 = 121.64/x
  3. Step 3: Cross multiply
    365.09x = 547.67 × 121.64
  4. Step 4: Simplify right side
    365.09x = 66,615.46
  5. Step 5: Solve for x
    x = 66,615.46/365.09
  6. Step 6: Final answer
    x = 182.47

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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.