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Finding the Fourth Proportional to 274.69, 411.78 and 120.52

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Solution

The fourth proportional to 274.69, 411.78 and 120.52 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.69 : 411.78 = 120.52 : x
  2. Step 2: Convert to fraction form
    274.69/411.78 = 120.52/x
  3. Step 3: Cross multiply
    274.69x = 411.78 × 120.52
  4. Step 4: Simplify right side
    274.69x = 49,628.69
  5. Step 5: Solve for x
    x = 49,628.69/274.69
  6. Step 6: Final answer
    x = 180.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.