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Finding the Fourth Proportional to 282.80, 423.74 and 205.66

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Solution

The fourth proportional to 282.80, 423.74 and 205.66 is: 308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 423.74 = 205.66 : x
  2. Step 2: Convert to fraction form
    282.80/423.74 = 205.66/x
  3. Step 3: Cross multiply
    282.80x = 423.74 × 205.66
  4. Step 4: Simplify right side
    282.80x = 87,146.37
  5. Step 5: Solve for x
    x = 87,146.37/282.80
  6. Step 6: Final answer
    x = 308.16

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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.