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Finding the Fourth Proportional to 282.06, 419.89 and 268.78

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Solution

The fourth proportional to 282.06, 419.89 and 268.78 is: 400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 419.89 = 268.78 : x
  2. Step 2: Convert to fraction form
    282.06/419.89 = 268.78/x
  3. Step 3: Cross multiply
    282.06x = 419.89 × 268.78
  4. Step 4: Simplify right side
    282.06x = 112,856.69
  5. Step 5: Solve for x
    x = 112,856.69/282.06
  6. Step 6: Final answer
    x = 400.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.