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Finding the Fourth Proportional to 337.20, 465.35 and 206.18

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Solution

The fourth proportional to 337.20, 465.35 and 206.18 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.20 : 465.35 = 206.18 : x
  2. Step 2: Convert to fraction form
    337.20/465.35 = 206.18/x
  3. Step 3: Cross multiply
    337.20x = 465.35 × 206.18
  4. Step 4: Simplify right side
    337.20x = 95,944.25
  5. Step 5: Solve for x
    x = 95,944.25/337.20
  6. Step 6: Final answer
    x = 284.54

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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.