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Finding the Fourth Proportional to 276.02, 413.28 and 194.42

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Solution

The fourth proportional to 276.02, 413.28 and 194.42 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 413.28 = 194.42 : x
  2. Step 2: Convert to fraction form
    276.02/413.28 = 194.42/x
  3. Step 3: Cross multiply
    276.02x = 413.28 × 194.42
  4. Step 4: Simplify right side
    276.02x = 80,349.90
  5. Step 5: Solve for x
    x = 80,349.90/276.02
  6. Step 6: Final answer
    x = 291.10

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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.