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Finding the Fourth Proportional to 171.12, 235.96 and 162

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Solution

The fourth proportional to 171.12, 235.96 and 162 is: 223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.12 : 235.96 = 162 : x
  2. Step 2: Convert to fraction form
    171.12/235.96 = 162/x
  3. Step 3: Cross multiply
    171.12x = 235.96 × 162
  4. Step 4: Simplify right side
    171.12x = 38,225.52
  5. Step 5: Solve for x
    x = 38,225.52/171.12
  6. Step 6: Final answer
    x = 223.38

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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.