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Finding the Fourth Proportional to 433.36, 649.64 and 159.27

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Solution

The fourth proportional to 433.36, 649.64 and 159.27 is: 238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.36 : 649.64 = 159.27 : x
  2. Step 2: Convert to fraction form
    433.36/649.64 = 159.27/x
  3. Step 3: Cross multiply
    433.36x = 649.64 × 159.27
  4. Step 4: Simplify right side
    433.36x = 103,468.16
  5. Step 5: Solve for x
    x = 103,468.16/433.36
  6. Step 6: Final answer
    x = 238.76

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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.