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Finding the Fourth Proportional to 404.06, 605.97 and 147.50

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Solution

The fourth proportional to 404.06, 605.97 and 147.50 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 605.97 = 147.50 : x
  2. Step 2: Convert to fraction form
    404.06/605.97 = 147.50/x
  3. Step 3: Cross multiply
    404.06x = 605.97 × 147.50
  4. Step 4: Simplify right side
    404.06x = 89,380.58
  5. Step 5: Solve for x
    x = 89,380.58/404.06
  6. Step 6: Final answer
    x = 221.21

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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.