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Finding the Fourth Proportional to 206.75, 310.06 and 102.58

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Solution

The fourth proportional to 206.75, 310.06 and 102.58 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 310.06 = 102.58 : x
  2. Step 2: Convert to fraction form
    206.75/310.06 = 102.58/x
  3. Step 3: Cross multiply
    206.75x = 310.06 × 102.58
  4. Step 4: Simplify right side
    206.75x = 31,804.92
  5. Step 5: Solve for x
    x = 31,804.92/206.75
  6. Step 6: Final answer
    x = 153.83

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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.