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Finding the Fourth Proportional to 271.44, 406.44 and 210.06

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Solution

The fourth proportional to 271.44, 406.44 and 210.06 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 406.44 = 210.06 : x
  2. Step 2: Convert to fraction form
    271.44/406.44 = 210.06/x
  3. Step 3: Cross multiply
    271.44x = 406.44 × 210.06
  4. Step 4: Simplify right side
    271.44x = 85,376.79
  5. Step 5: Solve for x
    x = 85,376.79/271.44
  6. Step 6: Final answer
    x = 314.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.