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Finding the Fourth Proportional to 170.34, 234.64 and 142.71

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Solution

The fourth proportional to 170.34, 234.64 and 142.71 is: 196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.34 : 234.64 = 142.71 : x
  2. Step 2: Convert to fraction form
    170.34/234.64 = 142.71/x
  3. Step 3: Cross multiply
    170.34x = 234.64 × 142.71
  4. Step 4: Simplify right side
    170.34x = 33,485.47
  5. Step 5: Solve for x
    x = 33,485.47/170.34
  6. Step 6: Final answer
    x = 196.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.