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Finding the Fourth Proportional to 271.04, 405.60 and 209.78

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Solution

The fourth proportional to 271.04, 405.60 and 209.78 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.04 : 405.60 = 209.78 : x
  2. Step 2: Convert to fraction form
    271.04/405.60 = 209.78/x
  3. Step 3: Cross multiply
    271.04x = 405.60 × 209.78
  4. Step 4: Simplify right side
    271.04x = 85,086.77
  5. Step 5: Solve for x
    x = 85,086.77/271.04
  6. Step 6: Final answer
    x = 313.93

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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.