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Finding the Fourth Proportional to 243.50, 336.09 and 140.06

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Solution

The fourth proportional to 243.50, 336.09 and 140.06 is: 193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.50 : 336.09 = 140.06 : x
  2. Step 2: Convert to fraction form
    243.50/336.09 = 140.06/x
  3. Step 3: Cross multiply
    243.50x = 336.09 × 140.06
  4. Step 4: Simplify right side
    243.50x = 47,072.77
  5. Step 5: Solve for x
    x = 47,072.77/243.50
  6. Step 6: Final answer
    x = 193.32

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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.