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Finding the Fourth Proportional to 271.72, 408.48 and 210.88

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Solution

The fourth proportional to 271.72, 408.48 and 210.88 is: 317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.72 : 408.48 = 210.88 : x
  2. Step 2: Convert to fraction form
    271.72/408.48 = 210.88/x
  3. Step 3: Cross multiply
    271.72x = 408.48 × 210.88
  4. Step 4: Simplify right side
    271.72x = 86,140.26
  5. Step 5: Solve for x
    x = 86,140.26/271.72
  6. Step 6: Final answer
    x = 317.02

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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.