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Finding the Fourth Proportional to 271.68, 407.84 and 143.36

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Solution

The fourth proportional to 271.68, 407.84 and 143.36 is: 215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 407.84 = 143.36 : x
  2. Step 2: Convert to fraction form
    271.68/407.84 = 143.36/x
  3. Step 3: Cross multiply
    271.68x = 407.84 × 143.36
  4. Step 4: Simplify right side
    271.68x = 58,467.94
  5. Step 5: Solve for x
    x = 58,467.94/271.68
  6. Step 6: Final answer
    x = 215.21

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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.