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Finding the Fourth Proportional to 271.56, 374.68 and 216.24

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Solution

The fourth proportional to 271.56, 374.68 and 216.24 is: 298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.56 : 374.68 = 216.24 : x
  2. Step 2: Convert to fraction form
    271.56/374.68 = 216.24/x
  3. Step 3: Cross multiply
    271.56x = 374.68 × 216.24
  4. Step 4: Simplify right side
    271.56x = 81,020.80
  5. Step 5: Solve for x
    x = 81,020.80/271.56
  6. Step 6: Final answer
    x = 298.35

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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.