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Finding the Fourth Proportional to 268.19, 402.29 and 123.89

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Solution

The fourth proportional to 268.19, 402.29 and 123.89 is: 185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.19 : 402.29 = 123.89 : x
  2. Step 2: Convert to fraction form
    268.19/402.29 = 123.89/x
  3. Step 3: Cross multiply
    268.19x = 402.29 × 123.89
  4. Step 4: Simplify right side
    268.19x = 49,839.09
  5. Step 5: Solve for x
    x = 49,839.09/268.19
  6. Step 6: Final answer
    x = 185.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.