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Finding the Fourth Proportional to 271.95, 375.41 and 172.46

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Solution

The fourth proportional to 271.95, 375.41 and 172.46 is: 238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.95 : 375.41 = 172.46 : x
  2. Step 2: Convert to fraction form
    271.95/375.41 = 172.46/x
  3. Step 3: Cross multiply
    271.95x = 375.41 × 172.46
  4. Step 4: Simplify right side
    271.95x = 64,743.21
  5. Step 5: Solve for x
    x = 64,743.21/271.95
  6. Step 6: Final answer
    x = 238.07

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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.