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Finding the Fourth Proportional to 254.06, 382.58 and 182.42

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Solution

The fourth proportional to 254.06, 382.58 and 182.42 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 382.58 = 182.42 : x
  2. Step 2: Convert to fraction form
    254.06/382.58 = 182.42/x
  3. Step 3: Cross multiply
    254.06x = 382.58 × 182.42
  4. Step 4: Simplify right side
    254.06x = 69,790.24
  5. Step 5: Solve for x
    x = 69,790.24/254.06
  6. Step 6: Final answer
    x = 274.70

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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.