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Finding the Fourth Proportional to 310.96, 465.71 and 182.80

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Solution

The fourth proportional to 310.96, 465.71 and 182.80 is: 273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.96 : 465.71 = 182.80 : x
  2. Step 2: Convert to fraction form
    310.96/465.71 = 182.80/x
  3. Step 3: Cross multiply
    310.96x = 465.71 × 182.80
  4. Step 4: Simplify right side
    310.96x = 85,131.79
  5. Step 5: Solve for x
    x = 85,131.79/310.96
  6. Step 6: Final answer
    x = 273.77

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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.