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Finding the Fourth Proportional to 433.48, 650.22 and 159.42

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Solution

The fourth proportional to 433.48, 650.22 and 159.42 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 650.22 = 159.42 : x
  2. Step 2: Convert to fraction form
    433.48/650.22 = 159.42/x
  3. Step 3: Cross multiply
    433.48x = 650.22 × 159.42
  4. Step 4: Simplify right side
    433.48x = 103,658.07
  5. Step 5: Solve for x
    x = 103,658.07/433.48
  6. Step 6: Final answer
    x = 239.13

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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.