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Finding the Fourth Proportional to 206.52, 284.96 and 119.16

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Solution

The fourth proportional to 206.52, 284.96 and 119.16 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.52 : 284.96 = 119.16 : x
  2. Step 2: Convert to fraction form
    206.52/284.96 = 119.16/x
  3. Step 3: Cross multiply
    206.52x = 284.96 × 119.16
  4. Step 4: Simplify right side
    206.52x = 33,955.83
  5. Step 5: Solve for x
    x = 33,955.83/206.52
  6. Step 6: Final answer
    x = 164.42

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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.