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Finding the Fourth Proportional to 309.74, 427.28 and 185.34

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Solution

The fourth proportional to 309.74, 427.28 and 185.34 is: 255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 427.28 = 185.34 : x
  2. Step 2: Convert to fraction form
    309.74/427.28 = 185.34/x
  3. Step 3: Cross multiply
    309.74x = 427.28 × 185.34
  4. Step 4: Simplify right side
    309.74x = 79,192.08
  5. Step 5: Solve for x
    x = 79,192.08/309.74
  6. Step 6: Final answer
    x = 255.67

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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.