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Finding the Fourth Proportional to 365.96, 505.02 and 200.17

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Solution

The fourth proportional to 365.96, 505.02 and 200.17 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 505.02 = 200.17 : x
  2. Step 2: Convert to fraction form
    365.96/505.02 = 200.17/x
  3. Step 3: Cross multiply
    365.96x = 505.02 × 200.17
  4. Step 4: Simplify right side
    365.96x = 101,089.85
  5. Step 5: Solve for x
    x = 101,089.85/365.96
  6. Step 6: Final answer
    x = 276.23

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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.