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Finding the Fourth Proportional to 271.80, 407.07 and 185.13

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Solution

The fourth proportional to 271.80, 407.07 and 185.13 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 407.07 = 185.13 : x
  2. Step 2: Convert to fraction form
    271.80/407.07 = 185.13/x
  3. Step 3: Cross multiply
    271.80x = 407.07 × 185.13
  4. Step 4: Simplify right side
    271.80x = 75,360.87
  5. Step 5: Solve for x
    x = 75,360.87/271.80
  6. Step 6: Final answer
    x = 277.27

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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.