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Finding the Fourth Proportional to 271.09, 406.64 and 142.93

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Solution

The fourth proportional to 271.09, 406.64 and 142.93 is: 214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.09 : 406.64 = 142.93 : x
  2. Step 2: Convert to fraction form
    271.09/406.64 = 142.93/x
  3. Step 3: Cross multiply
    271.09x = 406.64 × 142.93
  4. Step 4: Simplify right side
    271.09x = 58,121.06
  5. Step 5: Solve for x
    x = 58,121.06/271.09
  6. Step 6: Final answer
    x = 214.40

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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.