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Finding the Fourth Proportional to 433.25, 649.90 and 125.15

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Solution

The fourth proportional to 433.25, 649.90 and 125.15 is: 187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.25 : 649.90 = 125.15 : x
  2. Step 2: Convert to fraction form
    433.25/649.90 = 125.15/x
  3. Step 3: Cross multiply
    433.25x = 649.90 × 125.15
  4. Step 4: Simplify right side
    433.25x = 81,334.99
  5. Step 5: Solve for x
    x = 81,334.99/433.25
  6. Step 6: Final answer
    x = 187.73

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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.