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Finding the Fourth Proportional to 170.24, 233.40 and 165.68

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Solution

The fourth proportional to 170.24, 233.40 and 165.68 is: 227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 233.40 = 165.68 : x
  2. Step 2: Convert to fraction form
    170.24/233.40 = 165.68/x
  3. Step 3: Cross multiply
    170.24x = 233.40 × 165.68
  4. Step 4: Simplify right side
    170.24x = 38,668.55
  5. Step 5: Solve for x
    x = 38,668.55/170.24
  6. Step 6: Final answer
    x = 227.15

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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.