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Finding the Fourth Proportional to 271.47, 407.54 and 198.34

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Solution

The fourth proportional to 271.47, 407.54 and 198.34 is: 297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.47 : 407.54 = 198.34 : x
  2. Step 2: Convert to fraction form
    271.47/407.54 = 198.34/x
  3. Step 3: Cross multiply
    271.47x = 407.54 × 198.34
  4. Step 4: Simplify right side
    271.47x = 80,830.96
  5. Step 5: Solve for x
    x = 80,830.96/271.47
  6. Step 6: Final answer
    x = 297.75

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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.