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Finding the Fourth Proportional to 292.65, 404.10 and 194.85

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Solution

The fourth proportional to 292.65, 404.10 and 194.85 is: 269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.65 : 404.10 = 194.85 : x
  2. Step 2: Convert to fraction form
    292.65/404.10 = 194.85/x
  3. Step 3: Cross multiply
    292.65x = 404.10 × 194.85
  4. Step 4: Simplify right side
    292.65x = 78,738.89
  5. Step 5: Solve for x
    x = 78,738.89/292.65
  6. Step 6: Final answer
    x = 269.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.