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Finding the Fourth Proportional to 641.00, 961.50 and 178.81

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Solution

The fourth proportional to 641.00, 961.50 and 178.81 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.00 : 961.50 = 178.81 : x
  2. Step 2: Convert to fraction form
    641.00/961.50 = 178.81/x
  3. Step 3: Cross multiply
    641.00x = 961.50 × 178.81
  4. Step 4: Simplify right side
    641.00x = 171,923.41
  5. Step 5: Solve for x
    x = 171,923.41/641.00
  6. Step 6: Final answer
    x = 268.21

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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.