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Finding the Fourth Proportional to 358.12, 537.12 and 141.64

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Solution

The fourth proportional to 358.12, 537.12 and 141.64 is: 212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.12 : 537.12 = 141.64 : x
  2. Step 2: Convert to fraction form
    358.12/537.12 = 141.64/x
  3. Step 3: Cross multiply
    358.12x = 537.12 × 141.64
  4. Step 4: Simplify right side
    358.12x = 76,077.68
  5. Step 5: Solve for x
    x = 76,077.68/358.12
  6. Step 6: Final answer
    x = 212.44

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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.