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Finding the Fourth Proportional to 474.81, 712.29 and 166.83

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Solution

The fourth proportional to 474.81, 712.29 and 166.83 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.81 : 712.29 = 166.83 : x
  2. Step 2: Convert to fraction form
    474.81/712.29 = 166.83/x
  3. Step 3: Cross multiply
    474.81x = 712.29 × 166.83
  4. Step 4: Simplify right side
    474.81x = 118,831.34
  5. Step 5: Solve for x
    x = 118,831.34/474.81
  6. Step 6: Final answer
    x = 250.27

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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.