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Finding the Fourth Proportional to 404.13, 605.87 and 160.59

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Solution

The fourth proportional to 404.13, 605.87 and 160.59 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.13 : 605.87 = 160.59 : x
  2. Step 2: Convert to fraction form
    404.13/605.87 = 160.59/x
  3. Step 3: Cross multiply
    404.13x = 605.87 × 160.59
  4. Step 4: Simplify right side
    404.13x = 97,292.83
  5. Step 5: Solve for x
    x = 97,292.83/404.13
  6. Step 6: Final answer
    x = 240.75

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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.