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Finding the Fourth Proportional to 206.34, 284.78 and 123.50

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Solution

The fourth proportional to 206.34, 284.78 and 123.50 is: 170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 284.78 = 123.50 : x
  2. Step 2: Convert to fraction form
    206.34/284.78 = 123.50/x
  3. Step 3: Cross multiply
    206.34x = 284.78 × 123.50
  4. Step 4: Simplify right side
    206.34x = 35,170.33
  5. Step 5: Solve for x
    x = 35,170.33/206.34
  6. Step 6: Final answer
    x = 170.45

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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.