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Finding the Fourth Proportional to 404.00, 606.23 and 160.55

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Solution

The fourth proportional to 404.00, 606.23 and 160.55 is: 240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.00 : 606.23 = 160.55 : x
  2. Step 2: Convert to fraction form
    404.00/606.23 = 160.55/x
  3. Step 3: Cross multiply
    404.00x = 606.23 × 160.55
  4. Step 4: Simplify right side
    404.00x = 97,330.17
  5. Step 5: Solve for x
    x = 97,330.17/404.00
  6. Step 6: Final answer
    x = 240.91

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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.