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Finding the Fourth Proportional to 204.77, 282.56 and 120.74

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Solution

The fourth proportional to 204.77, 282.56 and 120.74 is: 166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.77 : 282.56 = 120.74 : x
  2. Step 2: Convert to fraction form
    204.77/282.56 = 120.74/x
  3. Step 3: Cross multiply
    204.77x = 282.56 × 120.74
  4. Step 4: Simplify right side
    204.77x = 34,117.30
  5. Step 5: Solve for x
    x = 34,117.30/204.77
  6. Step 6: Final answer
    x = 166.61

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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.