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Finding the Fourth Proportional to 309.30, 426.83 and 178.32

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Solution

The fourth proportional to 309.30, 426.83 and 178.32 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 426.83 = 178.32 : x
  2. Step 2: Convert to fraction form
    309.30/426.83 = 178.32/x
  3. Step 3: Cross multiply
    309.30x = 426.83 × 178.32
  4. Step 4: Simplify right side
    309.30x = 76,111.43
  5. Step 5: Solve for x
    x = 76,111.43/309.30
  6. Step 6: Final answer
    x = 246.08

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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.