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Finding the Fourth Proportional to 398.23, 596.84 and 167.06

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Solution

The fourth proportional to 398.23, 596.84 and 167.06 is: 250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.23 : 596.84 = 167.06 : x
  2. Step 2: Convert to fraction form
    398.23/596.84 = 167.06/x
  3. Step 3: Cross multiply
    398.23x = 596.84 × 167.06
  4. Step 4: Simplify right side
    398.23x = 99,708.75
  5. Step 5: Solve for x
    x = 99,708.75/398.23
  6. Step 6: Final answer
    x = 250.38

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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.