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Finding the Fourth Proportional to 474.96, 712.21 and 178.27

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Solution

The fourth proportional to 474.96, 712.21 and 178.27 is: 267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.96 : 712.21 = 178.27 : x
  2. Step 2: Convert to fraction form
    474.96/712.21 = 178.27/x
  3. Step 3: Cross multiply
    474.96x = 712.21 × 178.27
  4. Step 4: Simplify right side
    474.96x = 126,965.68
  5. Step 5: Solve for x
    x = 126,965.68/474.96
  6. Step 6: Final answer
    x = 267.32

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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.