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Finding the Fourth Proportional to 164.80, 227.40 and 94.84

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Solution

The fourth proportional to 164.80, 227.40 and 94.84 is: 130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 227.40 = 94.84 : x
  2. Step 2: Convert to fraction form
    164.80/227.40 = 94.84/x
  3. Step 3: Cross multiply
    164.80x = 227.40 × 94.84
  4. Step 4: Simplify right side
    164.80x = 21,566.62
  5. Step 5: Solve for x
    x = 21,566.62/164.80
  6. Step 6: Final answer
    x = 130.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.