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Finding the Fourth Proportional to 244.89, 367.64 and 204.59

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Solution

The fourth proportional to 244.89, 367.64 and 204.59 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.89 : 367.64 = 204.59 : x
  2. Step 2: Convert to fraction form
    244.89/367.64 = 204.59/x
  3. Step 3: Cross multiply
    244.89x = 367.64 × 204.59
  4. Step 4: Simplify right side
    244.89x = 75,216.13
  5. Step 5: Solve for x
    x = 75,216.13/244.89
  6. Step 6: Final answer
    x = 307.14

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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.