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Finding the Fourth Proportional to 397.90, 597.04 and 166.84

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Solution

The fourth proportional to 397.90, 597.04 and 166.84 is: 250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.90 : 597.04 = 166.84 : x
  2. Step 2: Convert to fraction form
    397.90/597.04 = 166.84/x
  3. Step 3: Cross multiply
    397.90x = 597.04 × 166.84
  4. Step 4: Simplify right side
    397.90x = 99,610.15
  5. Step 5: Solve for x
    x = 99,610.15/397.90
  6. Step 6: Final answer
    x = 250.34

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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.