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Finding the Fourth Proportional to 206.71, 310.02 and 83.32

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Solution

The fourth proportional to 206.71, 310.02 and 83.32 is: 124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.71 : 310.02 = 83.32 : x
  2. Step 2: Convert to fraction form
    206.71/310.02 = 83.32/x
  3. Step 3: Cross multiply
    206.71x = 310.02 × 83.32
  4. Step 4: Simplify right side
    206.71x = 25,830.87
  5. Step 5: Solve for x
    x = 25,830.87/206.71
  6. Step 6: Final answer
    x = 124.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.