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Finding the Fourth Proportional to 271.94, 377.72 and 264.26

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Solution

The fourth proportional to 271.94, 377.72 and 264.26 is: 367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 377.72 = 264.26 : x
  2. Step 2: Convert to fraction form
    271.94/377.72 = 264.26/x
  3. Step 3: Cross multiply
    271.94x = 377.72 × 264.26
  4. Step 4: Simplify right side
    271.94x = 99,816.29
  5. Step 5: Solve for x
    x = 99,816.29/271.94
  6. Step 6: Final answer
    x = 367.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.