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Finding the Fourth Proportional to 164.33, 226.64 and 98.76

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Solution

The fourth proportional to 164.33, 226.64 and 98.76 is: 136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 226.64 = 98.76 : x
  2. Step 2: Convert to fraction form
    164.33/226.64 = 98.76/x
  3. Step 3: Cross multiply
    164.33x = 226.64 × 98.76
  4. Step 4: Simplify right side
    164.33x = 22,383.21
  5. Step 5: Solve for x
    x = 22,383.21/164.33
  6. Step 6: Final answer
    x = 136.21

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