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Finding the Fourth Proportional to 178.54, 268.11 and 101.79

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Solution

The fourth proportional to 178.54, 268.11 and 101.79 is: 152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 268.11 = 101.79 : x
  2. Step 2: Convert to fraction form
    178.54/268.11 = 101.79/x
  3. Step 3: Cross multiply
    178.54x = 268.11 × 101.79
  4. Step 4: Simplify right side
    178.54x = 27,290.92
  5. Step 5: Solve for x
    x = 27,290.92/178.54
  6. Step 6: Final answer
    x = 152.86

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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.