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Finding the Fourth Proportional to 271.95, 374.79 and 216.46

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Solution

The fourth proportional to 271.95, 374.79 and 216.46 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.95 : 374.79 = 216.46 : x
  2. Step 2: Convert to fraction form
    271.95/374.79 = 216.46/x
  3. Step 3: Cross multiply
    271.95x = 374.79 × 216.46
  4. Step 4: Simplify right side
    271.95x = 81,127.04
  5. Step 5: Solve for x
    x = 81,127.04/271.95
  6. Step 6: Final answer
    x = 298.32

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Why These Related Problems?

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