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Finding the Fourth Proportional to 206.47, 284.94 and 119.16

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Solution

The fourth proportional to 206.47, 284.94 and 119.16 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.47 : 284.94 = 119.16 : x
  2. Step 2: Convert to fraction form
    206.47/284.94 = 119.16/x
  3. Step 3: Cross multiply
    206.47x = 284.94 × 119.16
  4. Step 4: Simplify right side
    206.47x = 33,953.45
  5. Step 5: Solve for x
    x = 33,953.45/206.47
  6. Step 6: Final answer
    x = 164.45

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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.