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Finding the Fourth Proportional to 254.39, 380.91 and 209.29

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Solution

The fourth proportional to 254.39, 380.91 and 209.29 is: 313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.39 : 380.91 = 209.29 : x
  2. Step 2: Convert to fraction form
    254.39/380.91 = 209.29/x
  3. Step 3: Cross multiply
    254.39x = 380.91 × 209.29
  4. Step 4: Simplify right side
    254.39x = 79,718.66
  5. Step 5: Solve for x
    x = 79,718.66/254.39
  6. Step 6: Final answer
    x = 313.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.