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Finding the Fourth Proportional to 206.58, 284.98 and 132.88

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Solution

The fourth proportional to 206.58, 284.98 and 132.88 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.58 : 284.98 = 132.88 : x
  2. Step 2: Convert to fraction form
    206.58/284.98 = 132.88/x
  3. Step 3: Cross multiply
    206.58x = 284.98 × 132.88
  4. Step 4: Simplify right side
    206.58x = 37,868.14
  5. Step 5: Solve for x
    x = 37,868.14/206.58
  6. Step 6: Final answer
    x = 183.31

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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.