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Finding the Fourth Proportional to 474.63, 712.01 and 166.46

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Solution

The fourth proportional to 474.63, 712.01 and 166.46 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.63 : 712.01 = 166.46 : x
  2. Step 2: Convert to fraction form
    474.63/712.01 = 166.46/x
  3. Step 3: Cross multiply
    474.63x = 712.01 × 166.46
  4. Step 4: Simplify right side
    474.63x = 118,518.57
  5. Step 5: Solve for x
    x = 118,518.57/474.63
  6. Step 6: Final answer
    x = 249.71

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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.