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Finding the Fourth Proportional to 164.59, 226.78 and 115.45

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Solution

The fourth proportional to 164.59, 226.78 and 115.45 is: 159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.59 : 226.78 = 115.45 : x
  2. Step 2: Convert to fraction form
    164.59/226.78 = 115.45/x
  3. Step 3: Cross multiply
    164.59x = 226.78 × 115.45
  4. Step 4: Simplify right side
    164.59x = 26,181.75
  5. Step 5: Solve for x
    x = 26,181.75/164.59
  6. Step 6: Final answer
    x = 159.07

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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.