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Finding the Fourth Proportional to 170.88, 233.94 and 166.56

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Solution

The fourth proportional to 170.88, 233.94 and 166.56 is: 228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.88 : 233.94 = 166.56 : x
  2. Step 2: Convert to fraction form
    170.88/233.94 = 166.56/x
  3. Step 3: Cross multiply
    170.88x = 233.94 × 166.56
  4. Step 4: Simplify right side
    170.88x = 38,965.05
  5. Step 5: Solve for x
    x = 38,965.05/170.88
  6. Step 6: Final answer
    x = 228.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.