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Finding the Fourth Proportional to 358.70, 537.75 and 142.14

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Solution

The fourth proportional to 358.70, 537.75 and 142.14 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.70 : 537.75 = 142.14 : x
  2. Step 2: Convert to fraction form
    358.70/537.75 = 142.14/x
  3. Step 3: Cross multiply
    358.70x = 537.75 × 142.14
  4. Step 4: Simplify right side
    358.70x = 76,435.79
  5. Step 5: Solve for x
    x = 76,435.79/358.70
  6. Step 6: Final answer
    x = 213.09

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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.