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Finding the Fourth Proportional to 178.89, 268.13 and 105.81

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Solution

The fourth proportional to 178.89, 268.13 and 105.81 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.89 : 268.13 = 105.81 : x
  2. Step 2: Convert to fraction form
    178.89/268.13 = 105.81/x
  3. Step 3: Cross multiply
    178.89x = 268.13 × 105.81
  4. Step 4: Simplify right side
    178.89x = 28,370.31
  5. Step 5: Solve for x
    x = 28,370.31/178.89
  6. Step 6: Final answer
    x = 158.59

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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.