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Finding the Fourth Proportional to 206.65, 285.06 and 119.31

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Solution

The fourth proportional to 206.65, 285.06 and 119.31 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.65 : 285.06 = 119.31 : x
  2. Step 2: Convert to fraction form
    206.65/285.06 = 119.31/x
  3. Step 3: Cross multiply
    206.65x = 285.06 × 119.31
  4. Step 4: Simplify right side
    206.65x = 34,009.08
  5. Step 5: Solve for x
    x = 34,009.08/206.65
  6. Step 6: Final answer
    x = 164.57

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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.