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Finding the Fourth Proportional to 268.85, 405.48 and 268.85

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Solution

The fourth proportional to 268.85, 405.48 and 268.85 is: 405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 405.48 = 268.85 : x
  2. Step 2: Convert to fraction form
    268.85/405.48 = 268.85/x
  3. Step 3: Cross multiply
    268.85x = 405.48 × 268.85
  4. Step 4: Simplify right side
    268.85x = 109,013.30
  5. Step 5: Solve for x
    x = 109,013.30/268.85
  6. Step 6: Final answer
    x = 405.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.