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Finding the Fourth Proportional to 347.68, 479.78 and 192.44

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Solution

The fourth proportional to 347.68, 479.78 and 192.44 is: 265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.68 : 479.78 = 192.44 : x
  2. Step 2: Convert to fraction form
    347.68/479.78 = 192.44/x
  3. Step 3: Cross multiply
    347.68x = 479.78 × 192.44
  4. Step 4: Simplify right side
    347.68x = 92,328.86
  5. Step 5: Solve for x
    x = 92,328.86/347.68
  6. Step 6: Final answer
    x = 265.56

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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.