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Finding the Fourth Proportional to 206.86, 285.49 and 137.07

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Solution

The fourth proportional to 206.86, 285.49 and 137.07 is: 189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.86 : 285.49 = 137.07 : x
  2. Step 2: Convert to fraction form
    206.86/285.49 = 137.07/x
  3. Step 3: Cross multiply
    206.86x = 285.49 × 137.07
  4. Step 4: Simplify right side
    206.86x = 39,130.00
  5. Step 5: Solve for x
    x = 39,130.00/206.86
  6. Step 6: Final answer
    x = 189.16

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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.