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Finding the Fourth Proportional to 276.12, 413.91 and 102.66

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Solution

The fourth proportional to 276.12, 413.91 and 102.66 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 413.91 = 102.66 : x
  2. Step 2: Convert to fraction form
    276.12/413.91 = 102.66/x
  3. Step 3: Cross multiply
    276.12x = 413.91 × 102.66
  4. Step 4: Simplify right side
    276.12x = 42,492.00
  5. Step 5: Solve for x
    x = 42,492.00/276.12
  6. Step 6: Final answer
    x = 153.89

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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.