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Finding the Fourth Proportional to 170.89, 254.66 and 165.94

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Solution

The fourth proportional to 170.89, 254.66 and 165.94 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.89 : 254.66 = 165.94 : x
  2. Step 2: Convert to fraction form
    170.89/254.66 = 165.94/x
  3. Step 3: Cross multiply
    170.89x = 254.66 × 165.94
  4. Step 4: Simplify right side
    170.89x = 42,258.06
  5. Step 5: Solve for x
    x = 42,258.06/170.89
  6. Step 6: Final answer
    x = 247.29

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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.