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Finding the Fourth Proportional to 182.63, 273.90 and 52.62

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Solution

The fourth proportional to 182.63, 273.90 and 52.62 is: 78.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.63 : 273.90 = 52.62 : x
  2. Step 2: Convert to fraction form
    182.63/273.90 = 52.62/x
  3. Step 3: Cross multiply
    182.63x = 273.90 × 52.62
  4. Step 4: Simplify right side
    182.63x = 14,413.03
  5. Step 5: Solve for x
    x = 14,413.03/182.63
  6. Step 6: Final answer
    x = 78.92

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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.