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Finding the Fourth Proportional to 309.64, 427.31 and 178.64

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Solution

The fourth proportional to 309.64, 427.31 and 178.64 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 427.31 = 178.64 : x
  2. Step 2: Convert to fraction form
    309.64/427.31 = 178.64/x
  3. Step 3: Cross multiply
    309.64x = 427.31 × 178.64
  4. Step 4: Simplify right side
    309.64x = 76,334.66
  5. Step 5: Solve for x
    x = 76,334.66/309.64
  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.