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Finding the Fourth Proportional to 369.15, 509.44 and 203.37

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Solution

The fourth proportional to 369.15, 509.44 and 203.37 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.15 : 509.44 = 203.37 : x
  2. Step 2: Convert to fraction form
    369.15/509.44 = 203.37/x
  3. Step 3: Cross multiply
    369.15x = 509.44 × 203.37
  4. Step 4: Simplify right side
    369.15x = 103,604.81
  5. Step 5: Solve for x
    x = 103,604.81/369.15
  6. Step 6: Final answer
    x = 280.66

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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.