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Finding the Fourth Proportional to 274.81, 412.21 and 213.76

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Solution

The fourth proportional to 274.81, 412.21 and 213.76 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.81 : 412.21 = 213.76 : x
  2. Step 2: Convert to fraction form
    274.81/412.21 = 213.76/x
  3. Step 3: Cross multiply
    274.81x = 412.21 × 213.76
  4. Step 4: Simplify right side
    274.81x = 88,114.01
  5. Step 5: Solve for x
    x = 88,114.01/274.81
  6. Step 6: Final answer
    x = 320.64

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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.