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Finding the Fourth Proportional to 273.98, 410.72 and 111.55

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Solution

The fourth proportional to 273.98, 410.72 and 111.55 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 410.72 = 111.55 : x
  2. Step 2: Convert to fraction form
    273.98/410.72 = 111.55/x
  3. Step 3: Cross multiply
    273.98x = 410.72 × 111.55
  4. Step 4: Simplify right side
    273.98x = 45,815.82
  5. Step 5: Solve for x
    x = 45,815.82/273.98
  6. Step 6: Final answer
    x = 167.22

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