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Finding the Fourth Proportional to 206.70, 285.36 and 132.10

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Solution

The fourth proportional to 206.70, 285.36 and 132.10 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 285.36 = 132.10 : x
  2. Step 2: Convert to fraction form
    206.70/285.36 = 132.10/x
  3. Step 3: Cross multiply
    206.70x = 285.36 × 132.10
  4. Step 4: Simplify right side
    206.70x = 37,696.06
  5. Step 5: Solve for x
    x = 37,696.06/206.70
  6. Step 6: Final answer
    x = 182.37

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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.