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Finding the Fourth Proportional to 206.34, 284.42 and 173.13

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Solution

The fourth proportional to 206.34, 284.42 and 173.13 is: 238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 284.42 = 173.13 : x
  2. Step 2: Convert to fraction form
    206.34/284.42 = 173.13/x
  3. Step 3: Cross multiply
    206.34x = 284.42 × 173.13
  4. Step 4: Simplify right side
    206.34x = 49,241.63
  5. Step 5: Solve for x
    x = 49,241.63/206.34
  6. Step 6: Final answer
    x = 238.64

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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.