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Finding the Fourth Proportional to 347.60, 479.64 and 200.12

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Solution

The fourth proportional to 347.60, 479.64 and 200.12 is: 276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.60 : 479.64 = 200.12 : x
  2. Step 2: Convert to fraction form
    347.60/479.64 = 200.12/x
  3. Step 3: Cross multiply
    347.60x = 479.64 × 200.12
  4. Step 4: Simplify right side
    347.60x = 95,985.56
  5. Step 5: Solve for x
    x = 95,985.56/347.60
  6. Step 6: Final answer
    x = 276.14

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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.