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Finding the Fourth Proportional to 164.61, 226.55 and 143.96

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Solution

The fourth proportional to 164.61, 226.55 and 143.96 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 226.55 = 143.96 : x
  2. Step 2: Convert to fraction form
    164.61/226.55 = 143.96/x
  3. Step 3: Cross multiply
    164.61x = 226.55 × 143.96
  4. Step 4: Simplify right side
    164.61x = 32,613.37
  5. Step 5: Solve for x
    x = 32,613.37/164.61
  6. Step 6: Final answer
    x = 198.13

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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.