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Finding the Fourth Proportional to 433.25, 649.72 and 125.02

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Solution

The fourth proportional to 433.25, 649.72 and 125.02 is: 187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.25 : 649.72 = 125.02 : x
  2. Step 2: Convert to fraction form
    433.25/649.72 = 125.02/x
  3. Step 3: Cross multiply
    433.25x = 649.72 × 125.02
  4. Step 4: Simplify right side
    433.25x = 81,227.99
  5. Step 5: Solve for x
    x = 81,227.99/433.25
  6. Step 6: Final answer
    x = 187.49

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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.