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Finding the Fourth Proportional to 286.23, 427.10 and 268.82

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Solution

The fourth proportional to 286.23, 427.10 and 268.82 is: 401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.23 : 427.10 = 268.82 : x
  2. Step 2: Convert to fraction form
    286.23/427.10 = 268.82/x
  3. Step 3: Cross multiply
    286.23x = 427.10 × 268.82
  4. Step 4: Simplify right side
    286.23x = 114,813.02
  5. Step 5: Solve for x
    x = 114,813.02/286.23
  6. Step 6: Final answer
    x = 401.12

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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.