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Finding the Fourth Proportional to 365.67, 504.63 and 199.89

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Solution

The fourth proportional to 365.67, 504.63 and 199.89 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.67 : 504.63 = 199.89 : x
  2. Step 2: Convert to fraction form
    365.67/504.63 = 199.89/x
  3. Step 3: Cross multiply
    365.67x = 504.63 × 199.89
  4. Step 4: Simplify right side
    365.67x = 100,867.97
  5. Step 5: Solve for x
    x = 100,867.97/365.67
  6. Step 6: Final answer
    x = 275.85

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Why These Related Problems?

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