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Finding the Fourth Proportional to 342.26, 472.29 and 194.89

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Solution

The fourth proportional to 342.26, 472.29 and 194.89 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.26 : 472.29 = 194.89 : x
  2. Step 2: Convert to fraction form
    342.26/472.29 = 194.89/x
  3. Step 3: Cross multiply
    342.26x = 472.29 × 194.89
  4. Step 4: Simplify right side
    342.26x = 92,044.60
  5. Step 5: Solve for x
    x = 92,044.60/342.26
  6. Step 6: Final answer
    x = 268.93

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