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Finding the Fourth Proportional to 243.82, 336.18 and 178.30

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Solution

The fourth proportional to 243.82, 336.18 and 178.30 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 336.18 = 178.30 : x
  2. Step 2: Convert to fraction form
    243.82/336.18 = 178.30/x
  3. Step 3: Cross multiply
    243.82x = 336.18 × 178.30
  4. Step 4: Simplify right side
    243.82x = 59,940.89
  5. Step 5: Solve for x
    x = 59,940.89/243.82
  6. Step 6: Final answer
    x = 245.84

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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.