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Finding the Fourth Proportional to 347.63, 479.75 and 192.41

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Solution

The fourth proportional to 347.63, 479.75 and 192.41 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.63 : 479.75 = 192.41 : x
  2. Step 2: Convert to fraction form
    347.63/479.75 = 192.41/x
  3. Step 3: Cross multiply
    347.63x = 479.75 × 192.41
  4. Step 4: Simplify right side
    347.63x = 92,306.78
  5. Step 5: Solve for x
    x = 92,306.78/347.63
  6. Step 6: Final answer
    x = 265.54

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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.