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Finding the Fourth Proportional to 309.60, 427.26 and 178.64

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Solution

The fourth proportional to 309.60, 427.26 and 178.64 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 427.26 = 178.64 : x
  2. Step 2: Convert to fraction form
    309.60/427.26 = 178.64/x
  3. Step 3: Cross multiply
    309.60x = 427.26 × 178.64
  4. Step 4: Simplify right side
    309.60x = 76,325.73
  5. Step 5: Solve for x
    x = 76,325.73/309.60
  6. Step 6: Final answer
    x = 246.53

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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.