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Finding the Fourth Proportional to 474.69, 712.12 and 166.47

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Solution

The fourth proportional to 474.69, 712.12 and 166.47 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.69 : 712.12 = 166.47 : x
  2. Step 2: Convert to fraction form
    474.69/712.12 = 166.47/x
  3. Step 3: Cross multiply
    474.69x = 712.12 × 166.47
  4. Step 4: Simplify right side
    474.69x = 118,543.84
  5. Step 5: Solve for x
    x = 118,543.84/474.69
  6. Step 6: Final answer
    x = 249.73

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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.