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Finding the Fourth Proportional to 271.76, 374.63 and 206.15

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Solution

The fourth proportional to 271.76, 374.63 and 206.15 is: 284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.76 : 374.63 = 206.15 : x
  2. Step 2: Convert to fraction form
    271.76/374.63 = 206.15/x
  3. Step 3: Cross multiply
    271.76x = 374.63 × 206.15
  4. Step 4: Simplify right side
    271.76x = 77,227.07
  5. Step 5: Solve for x
    x = 77,227.07/271.76
  6. Step 6: Final answer
    x = 284.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.