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Finding the Fourth Proportional to 273.47, 410.11 and 78.42

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Solution

The fourth proportional to 273.47, 410.11 and 78.42 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.47 : 410.11 = 78.42 : x
  2. Step 2: Convert to fraction form
    273.47/410.11 = 78.42/x
  3. Step 3: Cross multiply
    273.47x = 410.11 × 78.42
  4. Step 4: Simplify right side
    273.47x = 32,162.03
  5. Step 5: Solve for x
    x = 32,162.03/273.47
  6. Step 6: Final answer
    x = 117.61

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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.