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Finding the Fourth Proportional to 271.26, 407.39 and 168.75

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Solution

The fourth proportional to 271.26, 407.39 and 168.75 is: 253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.26 : 407.39 = 168.75 : x
  2. Step 2: Convert to fraction form
    271.26/407.39 = 168.75/x
  3. Step 3: Cross multiply
    271.26x = 407.39 × 168.75
  4. Step 4: Simplify right side
    271.26x = 68,746.22
  5. Step 5: Solve for x
    x = 68,746.22/271.26
  6. Step 6: Final answer
    x = 253.43

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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.