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Finding the Fourth Proportional to 271.44, 407.70 and 168.78

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Solution

The fourth proportional to 271.44, 407.70 and 168.78 is: 253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 407.70 = 168.78 : x
  2. Step 2: Convert to fraction form
    271.44/407.70 = 168.78/x
  3. Step 3: Cross multiply
    271.44x = 407.70 × 168.78
  4. Step 4: Simplify right side
    271.44x = 68,811.61
  5. Step 5: Solve for x
    x = 68,811.61/271.44
  6. Step 6: Final answer
    x = 253.51

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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.