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Finding the Fourth Proportional to 245.28, 367.20 and 180

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Solution

The fourth proportional to 245.28, 367.20 and 180 is: 269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.28 : 367.20 = 180 : x
  2. Step 2: Convert to fraction form
    245.28/367.20 = 180/x
  3. Step 3: Cross multiply
    245.28x = 367.20 × 180
  4. Step 4: Simplify right side
    245.28x = 66,096
  5. Step 5: Solve for x
    x = 66,096/245.28
  6. Step 6: Final answer
    x = 269.47

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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.