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Finding the Fourth Proportional to 339.94, 469.14 and 200.02

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Solution

The fourth proportional to 339.94, 469.14 and 200.02 is: 276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.94 : 469.14 = 200.02 : x
  2. Step 2: Convert to fraction form
    339.94/469.14 = 200.02/x
  3. Step 3: Cross multiply
    339.94x = 469.14 × 200.02
  4. Step 4: Simplify right side
    339.94x = 93,837.38
  5. Step 5: Solve for x
    x = 93,837.38/339.94
  6. Step 6: Final answer
    x = 276.04

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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.