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Finding the Fourth Proportional to 309.50, 427.16 and 185.16

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Solution

The fourth proportional to 309.50, 427.16 and 185.16 is: 255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 427.16 = 185.16 : x
  2. Step 2: Convert to fraction form
    309.50/427.16 = 185.16/x
  3. Step 3: Cross multiply
    309.50x = 427.16 × 185.16
  4. Step 4: Simplify right side
    309.50x = 79,092.02
  5. Step 5: Solve for x
    x = 79,092.02/309.50
  6. Step 6: Final answer
    x = 255.55

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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.