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Finding the Fourth Proportional to 433.72, 650.36 and 159.84

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Solution

The fourth proportional to 433.72, 650.36 and 159.84 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 650.36 = 159.84 : x
  2. Step 2: Convert to fraction form
    433.72/650.36 = 159.84/x
  3. Step 3: Cross multiply
    433.72x = 650.36 × 159.84
  4. Step 4: Simplify right side
    433.72x = 103,953.54
  5. Step 5: Solve for x
    x = 103,953.54/433.72
  6. Step 6: Final answer
    x = 239.68

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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.