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Finding the Fourth Proportional to 244.81, 367.28 and 114.85

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Solution

The fourth proportional to 244.81, 367.28 and 114.85 is: 172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.81 : 367.28 = 114.85 : x
  2. Step 2: Convert to fraction form
    244.81/367.28 = 114.85/x
  3. Step 3: Cross multiply
    244.81x = 367.28 × 114.85
  4. Step 4: Simplify right side
    244.81x = 42,182.11
  5. Step 5: Solve for x
    x = 42,182.11/244.81
  6. Step 6: Final answer
    x = 172.31

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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.