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Finding the Fourth Proportional to 365.27, 504.05 and 199.45

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Solution

The fourth proportional to 365.27, 504.05 and 199.45 is: 275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.27 : 504.05 = 199.45 : x
  2. Step 2: Convert to fraction form
    365.27/504.05 = 199.45/x
  3. Step 3: Cross multiply
    365.27x = 504.05 × 199.45
  4. Step 4: Simplify right side
    365.27x = 100,533.52
  5. Step 5: Solve for x
    x = 100,533.52/365.27
  6. Step 6: Final answer
    x = 275.23

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