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Finding the Fourth Proportional to 404.81, 607.07 and 161.27

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Solution

The fourth proportional to 404.81, 607.07 and 161.27 is: 241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.81 : 607.07 = 161.27 : x
  2. Step 2: Convert to fraction form
    404.81/607.07 = 161.27/x
  3. Step 3: Cross multiply
    404.81x = 607.07 × 161.27
  4. Step 4: Simplify right side
    404.81x = 97,899.55
  5. Step 5: Solve for x
    x = 97,899.55/404.81
  6. Step 6: Final answer
    x = 241.84

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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.