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Finding the Fourth Proportional to 339.94, 469.06 and 200.08

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Solution

The fourth proportional to 339.94, 469.06 and 200.08 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.94 : 469.06 = 200.08 : x
  2. Step 2: Convert to fraction form
    339.94/469.06 = 200.08/x
  3. Step 3: Cross multiply
    339.94x = 469.06 × 200.08
  4. Step 4: Simplify right side
    339.94x = 93,849.52
  5. Step 5: Solve for x
    x = 93,849.52/339.94
  6. Step 6: Final answer
    x = 276.08

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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.