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Finding the Fourth Proportional to 232.50, 320.94 and 140.50

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Solution

The fourth proportional to 232.50, 320.94 and 140.50 is: 193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 320.94 = 140.50 : x
  2. Step 2: Convert to fraction form
    232.50/320.94 = 140.50/x
  3. Step 3: Cross multiply
    232.50x = 320.94 × 140.50
  4. Step 4: Simplify right side
    232.50x = 45,092.07
  5. Step 5: Solve for x
    x = 45,092.07/232.50
  6. Step 6: Final answer
    x = 193.94

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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.