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Finding the Fourth Proportional to 206.21, 284.66 and 132.56

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Solution

The fourth proportional to 206.21, 284.66 and 132.56 is: 183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 284.66 = 132.56 : x
  2. Step 2: Convert to fraction form
    206.21/284.66 = 132.56/x
  3. Step 3: Cross multiply
    206.21x = 284.66 × 132.56
  4. Step 4: Simplify right side
    206.21x = 37,734.58
  5. Step 5: Solve for x
    x = 37,734.58/206.21
  6. Step 6: Final answer
    x = 183.00

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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.