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Finding the Fourth Proportional to 836.51, 1,254.81 and 220.22

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Solution

The fourth proportional to 836.51, 1,254.81 and 220.22 is: 330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.51 : 1,254.81 = 220.22 : x
  2. Step 2: Convert to fraction form
    836.51/1,254.81 = 220.22/x
  3. Step 3: Cross multiply
    836.51x = 1,254.81 × 220.22
  4. Step 4: Simplify right side
    836.51x = 276,334.26
  5. Step 5: Solve for x
    x = 276,334.26/836.51
  6. Step 6: Final answer
    x = 330.34

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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.