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Finding the Fourth Proportional to 309.62, 427.16 and 185.24

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Solution

The fourth proportional to 309.62, 427.16 and 185.24 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.62 : 427.16 = 185.24 : x
  2. Step 2: Convert to fraction form
    309.62/427.16 = 185.24/x
  3. Step 3: Cross multiply
    309.62x = 427.16 × 185.24
  4. Step 4: Simplify right side
    309.62x = 79,127.12
  5. Step 5: Solve for x
    x = 79,127.12/309.62
  6. Step 6: Final answer
    x = 255.56

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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.