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Finding the Fourth Proportional to 643.09, 964.64 and 180.88

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Solution

The fourth proportional to 643.09, 964.64 and 180.88 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.09 : 964.64 = 180.88 : x
  2. Step 2: Convert to fraction form
    643.09/964.64 = 180.88/x
  3. Step 3: Cross multiply
    643.09x = 964.64 × 180.88
  4. Step 4: Simplify right side
    643.09x = 174,487.55
  5. Step 5: Solve for x
    x = 174,487.55/643.09
  6. Step 6: Final answer
    x = 271.33

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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.