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Finding the Fourth Proportional to 251.36, 347.28 and 209.78

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Solution

The fourth proportional to 251.36, 347.28 and 209.78 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.36 : 347.28 = 209.78 : x
  2. Step 2: Convert to fraction form
    251.36/347.28 = 209.78/x
  3. Step 3: Cross multiply
    251.36x = 347.28 × 209.78
  4. Step 4: Simplify right side
    251.36x = 72,852.40
  5. Step 5: Solve for x
    x = 72,852.40/251.36
  6. Step 6: Final answer
    x = 289.83

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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.