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Finding the Fourth Proportional to 365.53, 504.43 and 199.75

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Solution

The fourth proportional to 365.53, 504.43 and 199.75 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.53 : 504.43 = 199.75 : x
  2. Step 2: Convert to fraction form
    365.53/504.43 = 199.75/x
  3. Step 3: Cross multiply
    365.53x = 504.43 × 199.75
  4. Step 4: Simplify right side
    365.53x = 100,759.89
  5. Step 5: Solve for x
    x = 100,759.89/365.53
  6. Step 6: Final answer
    x = 275.65

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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.