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Finding the Fourth Proportional to 271.56, 374.94 and 194.16

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Solution

The fourth proportional to 271.56, 374.94 and 194.16 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.56 : 374.94 = 194.16 : x
  2. Step 2: Convert to fraction form
    271.56/374.94 = 194.16/x
  3. Step 3: Cross multiply
    271.56x = 374.94 × 194.16
  4. Step 4: Simplify right side
    271.56x = 72,798.35
  5. Step 5: Solve for x
    x = 72,798.35/271.56
  6. Step 6: Final answer
    x = 268.07

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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.