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Finding the Fourth Proportional to 404.86, 607.20 and 161.42

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Solution

The fourth proportional to 404.86, 607.20 and 161.42 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.86 : 607.20 = 161.42 : x
  2. Step 2: Convert to fraction form
    404.86/607.20 = 161.42/x
  3. Step 3: Cross multiply
    404.86x = 607.20 × 161.42
  4. Step 4: Simplify right side
    404.86x = 98,014.22
  5. Step 5: Solve for x
    x = 98,014.22/404.86
  6. Step 6: Final answer
    x = 242.09

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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.