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Finding the Fourth Proportional to 170.90, 234.08 and 160.93

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Solution

The fourth proportional to 170.90, 234.08 and 160.93 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.90 : 234.08 = 160.93 : x
  2. Step 2: Convert to fraction form
    170.90/234.08 = 160.93/x
  3. Step 3: Cross multiply
    170.90x = 234.08 × 160.93
  4. Step 4: Simplify right side
    170.90x = 37,668.52
  5. Step 5: Solve for x
    x = 37,668.52/170.90
  6. Step 6: Final answer
    x = 220.41

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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.