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Finding the Fourth Proportional to 262.16, 361.63 and 179.22

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Solution

The fourth proportional to 262.16, 361.63 and 179.22 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 361.63 = 179.22 : x
  2. Step 2: Convert to fraction form
    262.16/361.63 = 179.22/x
  3. Step 3: Cross multiply
    262.16x = 361.63 × 179.22
  4. Step 4: Simplify right side
    262.16x = 64,811.33
  5. Step 5: Solve for x
    x = 64,811.33/262.16
  6. Step 6: Final answer
    x = 247.22

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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.