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Finding the Fourth Proportional to 309.34, 426.86 and 178.32

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Solution

The fourth proportional to 309.34, 426.86 and 178.32 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 426.86 = 178.32 : x
  2. Step 2: Convert to fraction form
    309.34/426.86 = 178.32/x
  3. Step 3: Cross multiply
    309.34x = 426.86 × 178.32
  4. Step 4: Simplify right side
    309.34x = 76,117.68
  5. Step 5: Solve for x
    x = 76,117.68/309.34
  6. Step 6: Final answer
    x = 246.06

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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.