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Finding the Fourth Proportional to 206.33, 284.65 and 135.45

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Solution

The fourth proportional to 206.33, 284.65 and 135.45 is: 186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.33 : 284.65 = 135.45 : x
  2. Step 2: Convert to fraction form
    206.33/284.65 = 135.45/x
  3. Step 3: Cross multiply
    206.33x = 284.65 × 135.45
  4. Step 4: Simplify right side
    206.33x = 38,555.84
  5. Step 5: Solve for x
    x = 38,555.84/206.33
  6. Step 6: Final answer
    x = 186.87

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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.