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Finding the Fourth Proportional to 337.66, 465.99 and 206.69

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Solution

The fourth proportional to 337.66, 465.99 and 206.69 is: 285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.66 : 465.99 = 206.69 : x
  2. Step 2: Convert to fraction form
    337.66/465.99 = 206.69/x
  3. Step 3: Cross multiply
    337.66x = 465.99 × 206.69
  4. Step 4: Simplify right side
    337.66x = 96,315.47
  5. Step 5: Solve for x
    x = 96,315.47/337.66
  6. Step 6: Final answer
    x = 285.24

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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.