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Finding the Fourth Proportional to 358.30, 537.13 and 141.73

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Solution

The fourth proportional to 358.30, 537.13 and 141.73 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.30 : 537.13 = 141.73 : x
  2. Step 2: Convert to fraction form
    358.30/537.13 = 141.73/x
  3. Step 3: Cross multiply
    358.30x = 537.13 × 141.73
  4. Step 4: Simplify right side
    358.30x = 76,127.43
  5. Step 5: Solve for x
    x = 76,127.43/358.30
  6. Step 6: Final answer
    x = 212.47

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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.