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Finding the Fourth Proportional to 290.96, 401.84 and 193.04

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Solution

The fourth proportional to 290.96, 401.84 and 193.04 is: 266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 401.84 = 193.04 : x
  2. Step 2: Convert to fraction form
    290.96/401.84 = 193.04/x
  3. Step 3: Cross multiply
    290.96x = 401.84 × 193.04
  4. Step 4: Simplify right side
    290.96x = 77,571.19
  5. Step 5: Solve for x
    x = 77,571.19/290.96
  6. Step 6: Final answer
    x = 266.60

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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.