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Finding the Fourth Proportional to 271.84, 407.24 and 213.76

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Solution

The fourth proportional to 271.84, 407.24 and 213.76 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.84 : 407.24 = 213.76 : x
  2. Step 2: Convert to fraction form
    271.84/407.24 = 213.76/x
  3. Step 3: Cross multiply
    271.84x = 407.24 × 213.76
  4. Step 4: Simplify right side
    271.84x = 87,051.62
  5. Step 5: Solve for x
    x = 87,051.62/271.84
  6. Step 6: Final answer
    x = 320.23

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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.