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Finding the Fourth Proportional to 404.92, 607.08 and 161.26

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Solution

The fourth proportional to 404.92, 607.08 and 161.26 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.92 : 607.08 = 161.26 : x
  2. Step 2: Convert to fraction form
    404.92/607.08 = 161.26/x
  3. Step 3: Cross multiply
    404.92x = 607.08 × 161.26
  4. Step 4: Simplify right side
    404.92x = 97,897.72
  5. Step 5: Solve for x
    x = 97,897.72/404.92
  6. Step 6: Final answer
    x = 241.77

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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.