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Finding the Fourth Proportional to 643.90, 965.84 and 156.95

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Solution

The fourth proportional to 643.90, 965.84 and 156.95 is: 235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.90 : 965.84 = 156.95 : x
  2. Step 2: Convert to fraction form
    643.90/965.84 = 156.95/x
  3. Step 3: Cross multiply
    643.90x = 965.84 × 156.95
  4. Step 4: Simplify right side
    643.90x = 151,588.59
  5. Step 5: Solve for x
    x = 151,588.59/643.90
  6. Step 6: Final answer
    x = 235.42

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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.