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Finding the Fourth Proportional to 365.92, 504.98 and 200.14

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Solution

The fourth proportional to 365.92, 504.98 and 200.14 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 504.98 = 200.14 : x
  2. Step 2: Convert to fraction form
    365.92/504.98 = 200.14/x
  3. Step 3: Cross multiply
    365.92x = 504.98 × 200.14
  4. Step 4: Simplify right side
    365.92x = 101,064.43
  5. Step 5: Solve for x
    x = 101,064.43/365.92
  6. Step 6: Final answer
    x = 276.19

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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.