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Finding the Fourth Proportional to 271.96, 407.97 and 150.05

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Solution

The fourth proportional to 271.96, 407.97 and 150.05 is: 225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.96 : 407.97 = 150.05 : x
  2. Step 2: Convert to fraction form
    271.96/407.97 = 150.05/x
  3. Step 3: Cross multiply
    271.96x = 407.97 × 150.05
  4. Step 4: Simplify right side
    271.96x = 61,216.92
  5. Step 5: Solve for x
    x = 61,216.92/271.96
  6. Step 6: Final answer
    x = 225.10

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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.