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Finding the Fourth Proportional to 262.04, 361.84 and 217.74

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Solution

The fourth proportional to 262.04, 361.84 and 217.74 is: 300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.04 : 361.84 = 217.74 : x
  2. Step 2: Convert to fraction form
    262.04/361.84 = 217.74/x
  3. Step 3: Cross multiply
    262.04x = 361.84 × 217.74
  4. Step 4: Simplify right side
    262.04x = 78,787.04
  5. Step 5: Solve for x
    x = 78,787.04/262.04
  6. Step 6: Final answer
    x = 300.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.