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Finding the Fourth Proportional to 170.63, 254.60 and 164.75

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Solution

The fourth proportional to 170.63, 254.60 and 164.75 is: 245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.63 : 254.60 = 164.75 : x
  2. Step 2: Convert to fraction form
    170.63/254.60 = 164.75/x
  3. Step 3: Cross multiply
    170.63x = 254.60 × 164.75
  4. Step 4: Simplify right side
    170.63x = 41,945.16
  5. Step 5: Solve for x
    x = 41,945.16/170.63
  6. Step 6: Final answer
    x = 245.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.