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Finding the Fourth Proportional to 404.40, 605.76 and 188.16

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Solution

The fourth proportional to 404.40, 605.76 and 188.16 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.40 : 605.76 = 188.16 : x
  2. Step 2: Convert to fraction form
    404.40/605.76 = 188.16/x
  3. Step 3: Cross multiply
    404.40x = 605.76 × 188.16
  4. Step 4: Simplify right side
    404.40x = 113,979.80
  5. Step 5: Solve for x
    x = 113,979.80/404.40
  6. Step 6: Final answer
    x = 281.85

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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.