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Finding the Fourth Proportional to 205.37, 305.72 and 204.15

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Solution

The fourth proportional to 205.37, 305.72 and 204.15 is: 303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.37 : 305.72 = 204.15 : x
  2. Step 2: Convert to fraction form
    205.37/305.72 = 204.15/x
  3. Step 3: Cross multiply
    205.37x = 305.72 × 204.15
  4. Step 4: Simplify right side
    205.37x = 62,413.25
  5. Step 5: Solve for x
    x = 62,413.25/205.37
  6. Step 6: Final answer
    x = 303.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.