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Finding the Fourth Proportional to 276.32, 413.52 and 194.64

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Solution

The fourth proportional to 276.32, 413.52 and 194.64 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.32 : 413.52 = 194.64 : x
  2. Step 2: Convert to fraction form
    276.32/413.52 = 194.64/x
  3. Step 3: Cross multiply
    276.32x = 413.52 × 194.64
  4. Step 4: Simplify right side
    276.32x = 80,487.53
  5. Step 5: Solve for x
    x = 80,487.53/276.32
  6. Step 6: Final answer
    x = 291.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.