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Finding the Fourth Proportional to 358.24, 537.08 and 141.80

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Solution

The fourth proportional to 358.24, 537.08 and 141.80 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 537.08 = 141.80 : x
  2. Step 2: Convert to fraction form
    358.24/537.08 = 141.80/x
  3. Step 3: Cross multiply
    358.24x = 537.08 × 141.80
  4. Step 4: Simplify right side
    358.24x = 76,157.94
  5. Step 5: Solve for x
    x = 76,157.94/358.24
  6. Step 6: Final answer
    x = 212.59

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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.