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Finding the Fourth Proportional to 358.50, 493.96 and 241.86

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Solution

The fourth proportional to 358.50, 493.96 and 241.86 is: 333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.50 : 493.96 = 241.86 : x
  2. Step 2: Convert to fraction form
    358.50/493.96 = 241.86/x
  3. Step 3: Cross multiply
    358.50x = 493.96 × 241.86
  4. Step 4: Simplify right side
    358.50x = 119,469.17
  5. Step 5: Solve for x
    x = 119,469.17/358.50
  6. Step 6: Final answer
    x = 333.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.