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Finding the Fourth Proportional to 358.88, 538.16 and 142.42

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Solution

The fourth proportional to 358.88, 538.16 and 142.42 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.88 : 538.16 = 142.42 : x
  2. Step 2: Convert to fraction form
    358.88/538.16 = 142.42/x
  3. Step 3: Cross multiply
    358.88x = 538.16 × 142.42
  4. Step 4: Simplify right side
    358.88x = 76,644.75
  5. Step 5: Solve for x
    x = 76,644.75/358.88
  6. Step 6: Final answer
    x = 213.57

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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.