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Finding the Fourth Proportional to 643.65, 965.47 and 156.70

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Solution

The fourth proportional to 643.65, 965.47 and 156.70 is: 235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.65 : 965.47 = 156.70 : x
  2. Step 2: Convert to fraction form
    643.65/965.47 = 156.70/x
  3. Step 3: Cross multiply
    643.65x = 965.47 × 156.70
  4. Step 4: Simplify right side
    643.65x = 151,289.54
  5. Step 5: Solve for x
    x = 151,289.54/643.65
  6. Step 6: Final answer
    x = 235.05

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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.