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Finding the Fourth Proportional to 264.07, 361.77 and 254.21

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Solution

The fourth proportional to 264.07, 361.77 and 254.21 is: 348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.07 : 361.77 = 254.21 : x
  2. Step 2: Convert to fraction form
    264.07/361.77 = 254.21/x
  3. Step 3: Cross multiply
    264.07x = 361.77 × 254.21
  4. Step 4: Simplify right side
    264.07x = 91,965.55
  5. Step 5: Solve for x
    x = 91,965.55/264.07
  6. Step 6: Final answer
    x = 348.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.