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Finding the Fourth Proportional to 337.89, 466.35 and 205.14

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Solution

The fourth proportional to 337.89, 466.35 and 205.14 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.89 : 466.35 = 205.14 : x
  2. Step 2: Convert to fraction form
    337.89/466.35 = 205.14/x
  3. Step 3: Cross multiply
    337.89x = 466.35 × 205.14
  4. Step 4: Simplify right side
    337.89x = 95,667.04
  5. Step 5: Solve for x
    x = 95,667.04/337.89
  6. Step 6: Final answer
    x = 283.13

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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.