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Finding the Fourth Proportional to 433.61, 650.02 and 159.51

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Solution

The fourth proportional to 433.61, 650.02 and 159.51 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.61 : 650.02 = 159.51 : x
  2. Step 2: Convert to fraction form
    433.61/650.02 = 159.51/x
  3. Step 3: Cross multiply
    433.61x = 650.02 × 159.51
  4. Step 4: Simplify right side
    433.61x = 103,684.69
  5. Step 5: Solve for x
    x = 103,684.69/433.61
  6. Step 6: Final answer
    x = 239.12

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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.