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Finding the Fourth Proportional to 251.99, 347.36 and 205.19

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Solution

The fourth proportional to 251.99, 347.36 and 205.19 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.99 : 347.36 = 205.19 : x
  2. Step 2: Convert to fraction form
    251.99/347.36 = 205.19/x
  3. Step 3: Cross multiply
    251.99x = 347.36 × 205.19
  4. Step 4: Simplify right side
    251.99x = 71,272.04
  5. Step 5: Solve for x
    x = 71,272.04/251.99
  6. Step 6: Final answer
    x = 282.84

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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.