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Finding the Fourth Proportional to 271.53, 374.71 and 161.06

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Solution

The fourth proportional to 271.53, 374.71 and 161.06 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.53 : 374.71 = 161.06 : x
  2. Step 2: Convert to fraction form
    271.53/374.71 = 161.06/x
  3. Step 3: Cross multiply
    271.53x = 374.71 × 161.06
  4. Step 4: Simplify right side
    271.53x = 60,348.11
  5. Step 5: Solve for x
    x = 60,348.11/271.53
  6. Step 6: Final answer
    x = 222.26

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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.