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Finding the Fourth Proportional to 309.79, 427.55 and 178.81

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Solution

The fourth proportional to 309.79, 427.55 and 178.81 is: 246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.79 : 427.55 = 178.81 : x
  2. Step 2: Convert to fraction form
    309.79/427.55 = 178.81/x
  3. Step 3: Cross multiply
    309.79x = 427.55 × 178.81
  4. Step 4: Simplify right side
    309.79x = 76,450.22
  5. Step 5: Solve for x
    x = 76,450.22/309.79
  6. Step 6: Final answer
    x = 246.78

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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.