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Finding the Fourth Proportional to 206.56, 285.01 and 123.64

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Solution

The fourth proportional to 206.56, 285.01 and 123.64 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 285.01 = 123.64 : x
  2. Step 2: Convert to fraction form
    206.56/285.01 = 123.64/x
  3. Step 3: Cross multiply
    206.56x = 285.01 × 123.64
  4. Step 4: Simplify right side
    206.56x = 35,236.59
  5. Step 5: Solve for x
    x = 35,236.59/206.56
  6. Step 6: Final answer
    x = 170.59

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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.