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Finding the Fourth Proportional to 282.06, 422.67 and 178.02

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Solution

The fourth proportional to 282.06, 422.67 and 178.02 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 422.67 = 178.02 : x
  2. Step 2: Convert to fraction form
    282.06/422.67 = 178.02/x
  3. Step 3: Cross multiply
    282.06x = 422.67 × 178.02
  4. Step 4: Simplify right side
    282.06x = 75,243.71
  5. Step 5: Solve for x
    x = 75,243.71/282.06
  6. Step 6: Final answer
    x = 266.76

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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.