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Finding the Fourth Proportional to 303.22, 418.38 and 178.88

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Solution

The fourth proportional to 303.22, 418.38 and 178.88 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.22 : 418.38 = 178.88 : x
  2. Step 2: Convert to fraction form
    303.22/418.38 = 178.88/x
  3. Step 3: Cross multiply
    303.22x = 418.38 × 178.88
  4. Step 4: Simplify right side
    303.22x = 74,839.81
  5. Step 5: Solve for x
    x = 74,839.81/303.22
  6. Step 6: Final answer
    x = 246.82

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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.