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Finding the Fourth Proportional to 170.85, 254.63 and 166.53

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Solution

The fourth proportional to 170.85, 254.63 and 166.53 is: 248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.85 : 254.63 = 166.53 : x
  2. Step 2: Convert to fraction form
    170.85/254.63 = 166.53/x
  3. Step 3: Cross multiply
    170.85x = 254.63 × 166.53
  4. Step 4: Simplify right side
    170.85x = 42,403.53
  5. Step 5: Solve for x
    x = 42,403.53/170.85
  6. Step 6: Final answer
    x = 248.19

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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.