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Finding the Fourth Proportional to 274.75, 379.16 and 158.35

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Solution

The fourth proportional to 274.75, 379.16 and 158.35 is: 218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 379.16 = 158.35 : x
  2. Step 2: Convert to fraction form
    274.75/379.16 = 158.35/x
  3. Step 3: Cross multiply
    274.75x = 379.16 × 158.35
  4. Step 4: Simplify right side
    274.75x = 60,039.99
  5. Step 5: Solve for x
    x = 60,039.99/274.75
  6. Step 6: Final answer
    x = 218.53

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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.