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Finding the Fourth Proportional to 166.94, 230.34 and 117.80

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Solution

The fourth proportional to 166.94, 230.34 and 117.80 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.94 : 230.34 = 117.80 : x
  2. Step 2: Convert to fraction form
    166.94/230.34 = 117.80/x
  3. Step 3: Cross multiply
    166.94x = 230.34 × 117.80
  4. Step 4: Simplify right side
    166.94x = 27,134.05
  5. Step 5: Solve for x
    x = 27,134.05/166.94
  6. Step 6: Final answer
    x = 162.54

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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.