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Finding the Fourth Proportional to 271.78, 407.67 and 98.49

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Solution

The fourth proportional to 271.78, 407.67 and 98.49 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 407.67 = 98.49 : x
  2. Step 2: Convert to fraction form
    271.78/407.67 = 98.49/x
  3. Step 3: Cross multiply
    271.78x = 407.67 × 98.49
  4. Step 4: Simplify right side
    271.78x = 40,152.58
  5. Step 5: Solve for x
    x = 40,152.58/271.78
  6. Step 6: Final answer
    x = 147.74

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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.