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Finding the Fourth Proportional to 337.80, 466.11 and 205.11

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Solution

The fourth proportional to 337.80, 466.11 and 205.11 is: 283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.80 : 466.11 = 205.11 : x
  2. Step 2: Convert to fraction form
    337.80/466.11 = 205.11/x
  3. Step 3: Cross multiply
    337.80x = 466.11 × 205.11
  4. Step 4: Simplify right side
    337.80x = 95,603.82
  5. Step 5: Solve for x
    x = 95,603.82/337.80
  6. Step 6: Final answer
    x = 283.02

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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.