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Finding the Fourth Proportional to 262.24, 361.74 and 213.16

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Solution

The fourth proportional to 262.24, 361.74 and 213.16 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.24 : 361.74 = 213.16 : x
  2. Step 2: Convert to fraction form
    262.24/361.74 = 213.16/x
  3. Step 3: Cross multiply
    262.24x = 361.74 × 213.16
  4. Step 4: Simplify right side
    262.24x = 77,108.50
  5. Step 5: Solve for x
    x = 77,108.50/262.24
  6. Step 6: Final answer
    x = 294.04

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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.