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Finding the Fourth Proportional to 262.77, 361.79 and 223.35

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Solution

The fourth proportional to 262.77, 361.79 and 223.35 is: 307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.77 : 361.79 = 223.35 : x
  2. Step 2: Convert to fraction form
    262.77/361.79 = 223.35/x
  3. Step 3: Cross multiply
    262.77x = 361.79 × 223.35
  4. Step 4: Simplify right side
    262.77x = 80,805.80
  5. Step 5: Solve for x
    x = 80,805.80/262.77
  6. Step 6: Final answer
    x = 307.52

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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.