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Finding the Fourth Proportional to 398.69, 598.13 and 142.19

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Solution

The fourth proportional to 398.69, 598.13 and 142.19 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.69 : 598.13 = 142.19 : x
  2. Step 2: Convert to fraction form
    398.69/598.13 = 142.19/x
  3. Step 3: Cross multiply
    398.69x = 598.13 × 142.19
  4. Step 4: Simplify right side
    398.69x = 85,048.10
  5. Step 5: Solve for x
    x = 85,048.10/398.69
  6. Step 6: Final answer
    x = 213.32

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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.