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Finding the Fourth Proportional to 399.72, 598.95 and 168.57

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Solution

The fourth proportional to 399.72, 598.95 and 168.57 is: 252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.72 : 598.95 = 168.57 : x
  2. Step 2: Convert to fraction form
    399.72/598.95 = 168.57/x
  3. Step 3: Cross multiply
    399.72x = 598.95 × 168.57
  4. Step 4: Simplify right side
    399.72x = 100,965.00
  5. Step 5: Solve for x
    x = 100,965.00/399.72
  6. Step 6: Final answer
    x = 252.59

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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.