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Finding the Fourth Proportional to 276.02, 413.79 and 147.86

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Solution

The fourth proportional to 276.02, 413.79 and 147.86 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 413.79 = 147.86 : x
  2. Step 2: Convert to fraction form
    276.02/413.79 = 147.86/x
  3. Step 3: Cross multiply
    276.02x = 413.79 × 147.86
  4. Step 4: Simplify right side
    276.02x = 61,182.99
  5. Step 5: Solve for x
    x = 61,182.99/276.02
  6. Step 6: Final answer
    x = 221.66

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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.