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Finding the Fourth Proportional to 337.03, 465.12 and 206

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Solution

The fourth proportional to 337.03, 465.12 and 206 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.03 : 465.12 = 206 : x
  2. Step 2: Convert to fraction form
    337.03/465.12 = 206/x
  3. Step 3: Cross multiply
    337.03x = 465.12 × 206
  4. Step 4: Simplify right side
    337.03x = 95,814.72
  5. Step 5: Solve for x
    x = 95,814.72/337.03
  6. Step 6: Final answer
    x = 284.29

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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.