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Finding the Fourth Proportional to 365.46, 504.33 and 199.67

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Solution

The fourth proportional to 365.46, 504.33 and 199.67 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.46 : 504.33 = 199.67 : x
  2. Step 2: Convert to fraction form
    365.46/504.33 = 199.67/x
  3. Step 3: Cross multiply
    365.46x = 504.33 × 199.67
  4. Step 4: Simplify right side
    365.46x = 100,696.30
  5. Step 5: Solve for x
    x = 100,696.30/365.46
  6. Step 6: Final answer
    x = 275.53

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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.