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Finding the Fourth Proportional to 273.55, 410.33 and 78.56

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Solution

The fourth proportional to 273.55, 410.33 and 78.56 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.55 : 410.33 = 78.56 : x
  2. Step 2: Convert to fraction form
    273.55/410.33 = 78.56/x
  3. Step 3: Cross multiply
    273.55x = 410.33 × 78.56
  4. Step 4: Simplify right side
    273.55x = 32,235.13
  5. Step 5: Solve for x
    x = 32,235.13/273.55
  6. Step 6: Final answer
    x = 117.84

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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.