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Finding the Fourth Proportional to 206.48, 284.86 and 136.57

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Solution

The fourth proportional to 206.48, 284.86 and 136.57 is: 188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.86 = 136.57 : x
  2. Step 2: Convert to fraction form
    206.48/284.86 = 136.57/x
  3. Step 3: Cross multiply
    206.48x = 284.86 × 136.57
  4. Step 4: Simplify right side
    206.48x = 38,903.33
  5. Step 5: Solve for x
    x = 38,903.33/206.48
  6. Step 6: Final answer
    x = 188.41

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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.