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Finding the Fourth Proportional to 244.76, 366.87 and 180.50

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Solution

The fourth proportional to 244.76, 366.87 and 180.50 is: 270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.76 : 366.87 = 180.50 : x
  2. Step 2: Convert to fraction form
    244.76/366.87 = 180.50/x
  3. Step 3: Cross multiply
    244.76x = 366.87 × 180.50
  4. Step 4: Simplify right side
    244.76x = 66,220.04
  5. Step 5: Solve for x
    x = 66,220.04/244.76
  6. Step 6: Final answer
    x = 270.55

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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.