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Finding the Fourth Proportional to 349.45, 482.29 and 200.12

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Solution

The fourth proportional to 349.45, 482.29 and 200.12 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.45 : 482.29 = 200.12 : x
  2. Step 2: Convert to fraction form
    349.45/482.29 = 200.12/x
  3. Step 3: Cross multiply
    349.45x = 482.29 × 200.12
  4. Step 4: Simplify right side
    349.45x = 96,515.87
  5. Step 5: Solve for x
    x = 96,515.87/349.45
  6. Step 6: Final answer
    x = 276.19

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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.