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Finding the Fourth Proportional to 273.81, 412.83 and 220.35

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Solution

The fourth proportional to 273.81, 412.83 and 220.35 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.81 : 412.83 = 220.35 : x
  2. Step 2: Convert to fraction form
    273.81/412.83 = 220.35/x
  3. Step 3: Cross multiply
    273.81x = 412.83 × 220.35
  4. Step 4: Simplify right side
    273.81x = 90,967.09
  5. Step 5: Solve for x
    x = 90,967.09/273.81
  6. Step 6: Final answer
    x = 332.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.