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Finding the Fourth Proportional to 254.16, 350.64 and 195.19

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Solution

The fourth proportional to 254.16, 350.64 and 195.19 is: 269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 350.64 = 195.19 : x
  2. Step 2: Convert to fraction form
    254.16/350.64 = 195.19/x
  3. Step 3: Cross multiply
    254.16x = 350.64 × 195.19
  4. Step 4: Simplify right side
    254.16x = 68,441.42
  5. Step 5: Solve for x
    x = 68,441.42/254.16
  6. Step 6: Final answer
    x = 269.28

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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.