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Finding the Fourth Proportional to 262.56, 394.02 and 181.26

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Solution

The fourth proportional to 262.56, 394.02 and 181.26 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.56 : 394.02 = 181.26 : x
  2. Step 2: Convert to fraction form
    262.56/394.02 = 181.26/x
  3. Step 3: Cross multiply
    262.56x = 394.02 × 181.26
  4. Step 4: Simplify right side
    262.56x = 71,417.19
  5. Step 5: Solve for x
    x = 71,417.19/262.56
  6. Step 6: Final answer
    x = 272.00

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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.