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Finding the Fourth Proportional to 404.93, 606.92 and 188.25

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Solution

The fourth proportional to 404.93, 606.92 and 188.25 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.93 : 606.92 = 188.25 : x
  2. Step 2: Convert to fraction form
    404.93/606.92 = 188.25/x
  3. Step 3: Cross multiply
    404.93x = 606.92 × 188.25
  4. Step 4: Simplify right side
    404.93x = 114,251.75
  5. Step 5: Solve for x
    x = 114,251.75/404.93
  6. Step 6: Final answer
    x = 282.16

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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.