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Finding the Fourth Proportional to 274.88, 412.09 and 144.81

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Solution

The fourth proportional to 274.88, 412.09 and 144.81 is: 217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 412.09 = 144.81 : x
  2. Step 2: Convert to fraction form
    274.88/412.09 = 144.81/x
  3. Step 3: Cross multiply
    274.88x = 412.09 × 144.81
  4. Step 4: Simplify right side
    274.88x = 59,674.39
  5. Step 5: Solve for x
    x = 59,674.39/274.88
  6. Step 6: Final answer
    x = 217.09

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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.