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Finding the Fourth Proportional to 271.54, 407.22 and 106.98

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Solution

The fourth proportional to 271.54, 407.22 and 106.98 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.54 : 407.22 = 106.98 : x
  2. Step 2: Convert to fraction form
    271.54/407.22 = 106.98/x
  3. Step 3: Cross multiply
    271.54x = 407.22 × 106.98
  4. Step 4: Simplify right side
    271.54x = 43,564.40
  5. Step 5: Solve for x
    x = 43,564.40/271.54
  6. Step 6: Final answer
    x = 160.43

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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.