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Finding the Fourth Proportional to 404.47, 606.94 and 160.93

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Solution

The fourth proportional to 404.47, 606.94 and 160.93 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.47 : 606.94 = 160.93 : x
  2. Step 2: Convert to fraction form
    404.47/606.94 = 160.93/x
  3. Step 3: Cross multiply
    404.47x = 606.94 × 160.93
  4. Step 4: Simplify right side
    404.47x = 97,672.93
  5. Step 5: Solve for x
    x = 97,672.93/404.47
  6. Step 6: Final answer
    x = 241.49

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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.