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Finding the Fourth Proportional to 399.76, 599.16 and 142.96

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Solution

The fourth proportional to 399.76, 599.16 and 142.96 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 599.16 = 142.96 : x
  2. Step 2: Convert to fraction form
    399.76/599.16 = 142.96/x
  3. Step 3: Cross multiply
    399.76x = 599.16 × 142.96
  4. Step 4: Simplify right side
    399.76x = 85,655.91
  5. Step 5: Solve for x
    x = 85,655.91/399.76
  6. Step 6: Final answer
    x = 214.27

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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.