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Finding the Fourth Proportional to 271.67, 407.51 and 98.34

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Solution

The fourth proportional to 271.67, 407.51 and 98.34 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.67 : 407.51 = 98.34 : x
  2. Step 2: Convert to fraction form
    271.67/407.51 = 98.34/x
  3. Step 3: Cross multiply
    271.67x = 407.51 × 98.34
  4. Step 4: Simplify right side
    271.67x = 40,074.03
  5. Step 5: Solve for x
    x = 40,074.03/271.67
  6. Step 6: Final answer
    x = 147.51

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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.