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Finding the Fourth Proportional to 166.94, 250.40 and 43.53

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Solution

The fourth proportional to 166.94, 250.40 and 43.53 is: 65.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.94 : 250.40 = 43.53 : x
  2. Step 2: Convert to fraction form
    166.94/250.40 = 43.53/x
  3. Step 3: Cross multiply
    166.94x = 250.40 × 43.53
  4. Step 4: Simplify right side
    166.94x = 10,898.44
  5. Step 5: Solve for x
    x = 10,898.44/166.94
  6. Step 6: Final answer
    x = 65.28

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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.