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Finding the Fourth Proportional to 166.94, 250.40 and 106.35

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Solution

The fourth proportional to 166.94, 250.40 and 106.35 is: 159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.94 : 250.40 = 106.35 : x
  2. Step 2: Convert to fraction form
    166.94/250.40 = 106.35/x
  3. Step 3: Cross multiply
    166.94x = 250.40 × 106.35
  4. Step 4: Simplify right side
    166.94x = 26,629.37
  5. Step 5: Solve for x
    x = 26,629.37/166.94
  6. Step 6: Final answer
    x = 159.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.