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Finding the Fourth Proportional to 358.35, 537.73 and 142.08

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Solution

The fourth proportional to 358.35, 537.73 and 142.08 is: 213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.35 : 537.73 = 142.08 : x
  2. Step 2: Convert to fraction form
    358.35/537.73 = 142.08/x
  3. Step 3: Cross multiply
    358.35x = 537.73 × 142.08
  4. Step 4: Simplify right side
    358.35x = 76,400.68
  5. Step 5: Solve for x
    x = 76,400.68/358.35
  6. Step 6: Final answer
    x = 213.20

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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.