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Finding the Fourth Proportional to 206.48, 284.60 and 144.42

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Solution

The fourth proportional to 206.48, 284.60 and 144.42 is: 199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.60 = 144.42 : x
  2. Step 2: Convert to fraction form
    206.48/284.60 = 144.42/x
  3. Step 3: Cross multiply
    206.48x = 284.60 × 144.42
  4. Step 4: Simplify right side
    206.48x = 41,101.93
  5. Step 5: Solve for x
    x = 41,101.93/206.48
  6. Step 6: Final answer
    x = 199.06

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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.