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Finding the Fourth Proportional to 292.75, 403.98 and 193.04

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Solution

The fourth proportional to 292.75, 403.98 and 193.04 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 403.98 = 193.04 : x
  2. Step 2: Convert to fraction form
    292.75/403.98 = 193.04/x
  3. Step 3: Cross multiply
    292.75x = 403.98 × 193.04
  4. Step 4: Simplify right side
    292.75x = 77,984.30
  5. Step 5: Solve for x
    x = 77,984.30/292.75
  6. Step 6: Final answer
    x = 266.39

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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.