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Finding the Fourth Proportional to 243.78, 336.01 and 181.50

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Solution

The fourth proportional to 243.78, 336.01 and 181.50 is: 250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.78 : 336.01 = 181.50 : x
  2. Step 2: Convert to fraction form
    243.78/336.01 = 181.50/x
  3. Step 3: Cross multiply
    243.78x = 336.01 × 181.50
  4. Step 4: Simplify right side
    243.78x = 60,984.91
  5. Step 5: Solve for x
    x = 60,984.91/243.78
  6. Step 6: Final answer
    x = 250.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.