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Finding the Fourth Proportional to 649.50, 974.25 and 193.50

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Solution

The fourth proportional to 649.50, 974.25 and 193.50 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.50 : 974.25 = 193.50 : x
  2. Step 2: Convert to fraction form
    649.50/974.25 = 193.50/x
  3. Step 3: Cross multiply
    649.50x = 974.25 × 193.50
  4. Step 4: Simplify right side
    649.50x = 188,517.38
  5. Step 5: Solve for x
    x = 188,517.38/649.50
  6. Step 6: Final answer
    x = 290.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.