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Finding the Fourth Proportional to 254.72, 378.92 and 252.08

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Solution

The fourth proportional to 254.72, 378.92 and 252.08 is: 374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.72 : 378.92 = 252.08 : x
  2. Step 2: Convert to fraction form
    254.72/378.92 = 252.08/x
  3. Step 3: Cross multiply
    254.72x = 378.92 × 252.08
  4. Step 4: Simplify right side
    254.72x = 95,518.15
  5. Step 5: Solve for x
    x = 95,518.15/254.72
  6. Step 6: Final answer
    x = 374.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.