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Finding the Fourth Proportional to 354.69, 531.90 and 149.12

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Solution

The fourth proportional to 354.69, 531.90 and 149.12 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.69 : 531.90 = 149.12 : x
  2. Step 2: Convert to fraction form
    354.69/531.90 = 149.12/x
  3. Step 3: Cross multiply
    354.69x = 531.90 × 149.12
  4. Step 4: Simplify right side
    354.69x = 79,316.93
  5. Step 5: Solve for x
    x = 79,316.93/354.69
  6. Step 6: Final answer
    x = 223.62

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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.