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Finding the Fourth Proportional to 433.15, 649.34 and 159.06

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Solution

The fourth proportional to 433.15, 649.34 and 159.06 is: 238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.15 : 649.34 = 159.06 : x
  2. Step 2: Convert to fraction form
    433.15/649.34 = 159.06/x
  3. Step 3: Cross multiply
    433.15x = 649.34 × 159.06
  4. Step 4: Simplify right side
    433.15x = 103,279.98
  5. Step 5: Solve for x
    x = 103,279.98/433.15
  6. Step 6: Final answer
    x = 238.44

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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.