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Finding the Fourth Proportional to 262.59, 362.52 and 182.94

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Solution

The fourth proportional to 262.59, 362.52 and 182.94 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.59 : 362.52 = 182.94 : x
  2. Step 2: Convert to fraction form
    262.59/362.52 = 182.94/x
  3. Step 3: Cross multiply
    262.59x = 362.52 × 182.94
  4. Step 4: Simplify right side
    262.59x = 66,318.49
  5. Step 5: Solve for x
    x = 66,318.49/262.59
  6. Step 6: Final answer
    x = 252.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.