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Finding the Fourth Proportional to 365.33, 504.15 and 199.53

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Solution

The fourth proportional to 365.33, 504.15 and 199.53 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.33 : 504.15 = 199.53 : x
  2. Step 2: Convert to fraction form
    365.33/504.15 = 199.53/x
  3. Step 3: Cross multiply
    365.33x = 504.15 × 199.53
  4. Step 4: Simplify right side
    365.33x = 100,593.05
  5. Step 5: Solve for x
    x = 100,593.05/365.33
  6. Step 6: Final answer
    x = 275.35

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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.