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Finding the Fourth Proportional to 356.09, 491.37 and 206.69

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Solution

The fourth proportional to 356.09, 491.37 and 206.69 is: 285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.09 : 491.37 = 206.69 : x
  2. Step 2: Convert to fraction form
    356.09/491.37 = 206.69/x
  3. Step 3: Cross multiply
    356.09x = 491.37 × 206.69
  4. Step 4: Simplify right side
    356.09x = 101,561.27
  5. Step 5: Solve for x
    x = 101,561.27/356.09
  6. Step 6: Final answer
    x = 285.21

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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.