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Finding the Fourth Proportional to 251.86, 347.49 and 219.05

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Solution

The fourth proportional to 251.86, 347.49 and 219.05 is: 302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.86 : 347.49 = 219.05 : x
  2. Step 2: Convert to fraction form
    251.86/347.49 = 219.05/x
  3. Step 3: Cross multiply
    251.86x = 347.49 × 219.05
  4. Step 4: Simplify right side
    251.86x = 76,119.20
  5. Step 5: Solve for x
    x = 76,119.20/251.86
  6. Step 6: Final answer
    x = 302.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.