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Finding the Fourth Proportional to 268.63, 403.01 and 76.25

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Solution

The fourth proportional to 268.63, 403.01 and 76.25 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.63 : 403.01 = 76.25 : x
  2. Step 2: Convert to fraction form
    268.63/403.01 = 76.25/x
  3. Step 3: Cross multiply
    268.63x = 403.01 × 76.25
  4. Step 4: Simplify right side
    268.63x = 30,729.51
  5. Step 5: Solve for x
    x = 30,729.51/268.63
  6. Step 6: Final answer
    x = 114.39

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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.