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Finding the Fourth Proportional to 274.16, 378.09 and 179.60

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Solution

The fourth proportional to 274.16, 378.09 and 179.60 is: 247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 378.09 = 179.60 : x
  2. Step 2: Convert to fraction form
    274.16/378.09 = 179.60/x
  3. Step 3: Cross multiply
    274.16x = 378.09 × 179.60
  4. Step 4: Simplify right side
    274.16x = 67,903.07
  5. Step 5: Solve for x
    x = 67,903.07/274.16
  6. Step 6: Final answer
    x = 247.67

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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.