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Finding the Fourth Proportional to 365.70, 504.65 and 199.91

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Solution

The fourth proportional to 365.70, 504.65 and 199.91 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 504.65 = 199.91 : x
  2. Step 2: Convert to fraction form
    365.70/504.65 = 199.91/x
  3. Step 3: Cross multiply
    365.70x = 504.65 × 199.91
  4. Step 4: Simplify right side
    365.70x = 100,884.58
  5. Step 5: Solve for x
    x = 100,884.58/365.70
  6. Step 6: Final answer
    x = 275.87

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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.