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Finding the Fourth Proportional to 271.72, 374.99 and 193.06

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Solution

The fourth proportional to 271.72, 374.99 and 193.06 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.72 : 374.99 = 193.06 : x
  2. Step 2: Convert to fraction form
    271.72/374.99 = 193.06/x
  3. Step 3: Cross multiply
    271.72x = 374.99 × 193.06
  4. Step 4: Simplify right side
    271.72x = 72,395.07
  5. Step 5: Solve for x
    x = 72,395.07/271.72
  6. Step 6: Final answer
    x = 266.43

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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.