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Finding the Fourth Proportional to 282.56, 423.72 and 191.28

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Solution

The fourth proportional to 282.56, 423.72 and 191.28 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 423.72 = 191.28 : x
  2. Step 2: Convert to fraction form
    282.56/423.72 = 191.28/x
  3. Step 3: Cross multiply
    282.56x = 423.72 × 191.28
  4. Step 4: Simplify right side
    282.56x = 81,049.16
  5. Step 5: Solve for x
    x = 81,049.16/282.56
  6. Step 6: Final answer
    x = 286.84

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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.