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Finding the Fourth Proportional to 164.52, 227.04 and 98.18

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Solution

The fourth proportional to 164.52, 227.04 and 98.18 is: 135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 227.04 = 98.18 : x
  2. Step 2: Convert to fraction form
    164.52/227.04 = 98.18/x
  3. Step 3: Cross multiply
    164.52x = 227.04 × 98.18
  4. Step 4: Simplify right side
    164.52x = 22,290.79
  5. Step 5: Solve for x
    x = 22,290.79/164.52
  6. Step 6: Final answer
    x = 135.49

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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.