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Finding the Fourth Proportional to 474.70, 712.12 and 166.54

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Solution

The fourth proportional to 474.70, 712.12 and 166.54 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.70 : 712.12 = 166.54 : x
  2. Step 2: Convert to fraction form
    474.70/712.12 = 166.54/x
  3. Step 3: Cross multiply
    474.70x = 712.12 × 166.54
  4. Step 4: Simplify right side
    474.70x = 118,596.46
  5. Step 5: Solve for x
    x = 118,596.46/474.70
  6. Step 6: Final answer
    x = 249.83

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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.