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Finding the Fourth Proportional to 186.28, 256.55 and 182.25

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Solution

The fourth proportional to 186.28, 256.55 and 182.25 is: 251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 256.55 = 182.25 : x
  2. Step 2: Convert to fraction form
    186.28/256.55 = 182.25/x
  3. Step 3: Cross multiply
    186.28x = 256.55 × 182.25
  4. Step 4: Simplify right side
    186.28x = 46,755.33
  5. Step 5: Solve for x
    x = 46,755.33/186.28
  6. Step 6: Final answer
    x = 251.00

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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.