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Finding the Fourth Proportional to 292.59, 404.11 and 194.17

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Solution

The fourth proportional to 292.59, 404.11 and 194.17 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 404.11 = 194.17 : x
  2. Step 2: Convert to fraction form
    292.59/404.11 = 194.17/x
  3. Step 3: Cross multiply
    292.59x = 404.11 × 194.17
  4. Step 4: Simplify right side
    292.59x = 78,466.04
  5. Step 5: Solve for x
    x = 78,466.04/292.59
  6. Step 6: Final answer
    x = 268.18

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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.