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Finding the Fourth Proportional to 643.98, 965.96 and 157.02

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Solution

The fourth proportional to 643.98, 965.96 and 157.02 is: 235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.98 : 965.96 = 157.02 : x
  2. Step 2: Convert to fraction form
    643.98/965.96 = 157.02/x
  3. Step 3: Cross multiply
    643.98x = 965.96 × 157.02
  4. Step 4: Simplify right side
    643.98x = 151,675.04
  5. Step 5: Solve for x
    x = 151,675.04/643.98
  6. Step 6: Final answer
    x = 235.53

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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.