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Finding the Fourth Proportional to 365.69, 504.66 and 199.91

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Solution

The fourth proportional to 365.69, 504.66 and 199.91 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.69 : 504.66 = 199.91 : x
  2. Step 2: Convert to fraction form
    365.69/504.66 = 199.91/x
  3. Step 3: Cross multiply
    365.69x = 504.66 × 199.91
  4. Step 4: Simplify right side
    365.69x = 100,887.34
  5. Step 5: Solve for x
    x = 100,887.34/365.69
  6. Step 6: Final answer
    x = 275.88

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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.