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Finding the Fourth Proportional to 244.76, 367.22 and 114.75

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Solution

The fourth proportional to 244.76, 367.22 and 114.75 is: 172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.76 : 367.22 = 114.75 : x
  2. Step 2: Convert to fraction form
    244.76/367.22 = 114.75/x
  3. Step 3: Cross multiply
    244.76x = 367.22 × 114.75
  4. Step 4: Simplify right side
    244.76x = 42,138.50
  5. Step 5: Solve for x
    x = 42,138.50/244.76
  6. Step 6: Final answer
    x = 172.16

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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.