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Finding the Fourth Proportional to 271.42, 406.64 and 162.99

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Solution

The fourth proportional to 271.42, 406.64 and 162.99 is: 244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.42 : 406.64 = 162.99 : x
  2. Step 2: Convert to fraction form
    271.42/406.64 = 162.99/x
  3. Step 3: Cross multiply
    271.42x = 406.64 × 162.99
  4. Step 4: Simplify right side
    271.42x = 66,278.66
  5. Step 5: Solve for x
    x = 66,278.66/271.42
  6. Step 6: Final answer
    x = 244.19

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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.