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Finding the Fourth Proportional to 170.33, 254.05 and 165.20

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Solution

The fourth proportional to 170.33, 254.05 and 165.20 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.33 : 254.05 = 165.20 : x
  2. Step 2: Convert to fraction form
    170.33/254.05 = 165.20/x
  3. Step 3: Cross multiply
    170.33x = 254.05 × 165.20
  4. Step 4: Simplify right side
    170.33x = 41,969.06
  5. Step 5: Solve for x
    x = 41,969.06/170.33
  6. Step 6: Final answer
    x = 246.41

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Why These Related Problems?

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