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Finding the Fourth Proportional to 294.74, 441.87 and 180.50

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Solution

The fourth proportional to 294.74, 441.87 and 180.50 is: 270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.74 : 441.87 = 180.50 : x
  2. Step 2: Convert to fraction form
    294.74/441.87 = 180.50/x
  3. Step 3: Cross multiply
    294.74x = 441.87 × 180.50
  4. Step 4: Simplify right side
    294.74x = 79,757.54
  5. Step 5: Solve for x
    x = 79,757.54/294.74
  6. Step 6: Final answer
    x = 270.60

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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.