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Finding the Fourth Proportional to 347.72, 479.82 and 192.46

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Solution

The fourth proportional to 347.72, 479.82 and 192.46 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.72 : 479.82 = 192.46 : x
  2. Step 2: Convert to fraction form
    347.72/479.82 = 192.46/x
  3. Step 3: Cross multiply
    347.72x = 479.82 × 192.46
  4. Step 4: Simplify right side
    347.72x = 92,346.16
  5. Step 5: Solve for x
    x = 92,346.16/347.72
  6. Step 6: Final answer
    x = 265.58

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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.