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Finding the Fourth Proportional to 399.35, 598.57 and 167.90

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Solution

The fourth proportional to 399.35, 598.57 and 167.90 is: 251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 598.57 = 167.90 : x
  2. Step 2: Convert to fraction form
    399.35/598.57 = 167.90/x
  3. Step 3: Cross multiply
    399.35x = 598.57 × 167.90
  4. Step 4: Simplify right side
    399.35x = 100,497.12
  5. Step 5: Solve for x
    x = 100,497.12/399.35
  6. Step 6: Final answer
    x = 251.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.