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Finding the Fourth Proportional to 206.75, 285.37 and 144.53

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Solution

The fourth proportional to 206.75, 285.37 and 144.53 is: 199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 285.37 = 144.53 : x
  2. Step 2: Convert to fraction form
    206.75/285.37 = 144.53/x
  3. Step 3: Cross multiply
    206.75x = 285.37 × 144.53
  4. Step 4: Simplify right side
    206.75x = 41,246.23
  5. Step 5: Solve for x
    x = 41,246.23/206.75
  6. Step 6: Final answer
    x = 199.50

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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.