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Finding the Fourth Proportional to 271.44, 374.22 and 263.16

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Solution

The fourth proportional to 271.44, 374.22 and 263.16 is: 362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 374.22 = 263.16 : x
  2. Step 2: Convert to fraction form
    271.44/374.22 = 263.16/x
  3. Step 3: Cross multiply
    271.44x = 374.22 × 263.16
  4. Step 4: Simplify right side
    271.44x = 98,479.74
  5. Step 5: Solve for x
    x = 98,479.74/271.44
  6. Step 6: Final answer
    x = 362.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.