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Finding the Fourth Proportional to 254.55, 350.84 and 194.72

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Solution

The fourth proportional to 254.55, 350.84 and 194.72 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.55 : 350.84 = 194.72 : x
  2. Step 2: Convert to fraction form
    254.55/350.84 = 194.72/x
  3. Step 3: Cross multiply
    254.55x = 350.84 × 194.72
  4. Step 4: Simplify right side
    254.55x = 68,314.30
  5. Step 5: Solve for x
    x = 68,314.30/254.55
  6. Step 6: Final answer
    x = 268.37

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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.