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Finding the Fourth Proportional to 271.53, 407.15 and 190.44

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Solution

The fourth proportional to 271.53, 407.15 and 190.44 is: 285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.53 : 407.15 = 190.44 : x
  2. Step 2: Convert to fraction form
    271.53/407.15 = 190.44/x
  3. Step 3: Cross multiply
    271.53x = 407.15 × 190.44
  4. Step 4: Simplify right side
    271.53x = 77,536.69
  5. Step 5: Solve for x
    x = 77,536.69/271.53
  6. Step 6: Final answer
    x = 285.55

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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.