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Finding the Fourth Proportional to 203.76, 305.66 and 82

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Solution

The fourth proportional to 203.76, 305.66 and 82 is: 123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.76 : 305.66 = 82 : x
  2. Step 2: Convert to fraction form
    203.76/305.66 = 82/x
  3. Step 3: Cross multiply
    203.76x = 305.66 × 82
  4. Step 4: Simplify right side
    203.76x = 25,063.71
  5. Step 5: Solve for x
    x = 25,063.71/203.76
  6. Step 6: Final answer
    x = 123.01

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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.