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Finding the Fourth Proportional to 166.95, 230.46 and 117.90

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Solution

The fourth proportional to 166.95, 230.46 and 117.90 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.95 : 230.46 = 117.90 : x
  2. Step 2: Convert to fraction form
    166.95/230.46 = 117.90/x
  3. Step 3: Cross multiply
    166.95x = 230.46 × 117.90
  4. Step 4: Simplify right side
    166.95x = 27,171.23
  5. Step 5: Solve for x
    x = 27,171.23/166.95
  6. Step 6: Final answer
    x = 162.75

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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.