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Finding the Fourth Proportional to 339.98, 469.09 and 200.10

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Solution

The fourth proportional to 339.98, 469.09 and 200.10 is: 276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.98 : 469.09 = 200.10 : x
  2. Step 2: Convert to fraction form
    339.98/469.09 = 200.10/x
  3. Step 3: Cross multiply
    339.98x = 469.09 × 200.10
  4. Step 4: Simplify right side
    339.98x = 93,862.74
  5. Step 5: Solve for x
    x = 93,862.74/339.98
  6. Step 6: Final answer
    x = 276.09

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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.