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Finding the Fourth Proportional to 178.90, 268.15 and 110.27

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Solution

The fourth proportional to 178.90, 268.15 and 110.27 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.90 : 268.15 = 110.27 : x
  2. Step 2: Convert to fraction form
    178.90/268.15 = 110.27/x
  3. Step 3: Cross multiply
    178.90x = 268.15 × 110.27
  4. Step 4: Simplify right side
    178.90x = 29,568.90
  5. Step 5: Solve for x
    x = 29,568.90/178.90
  6. Step 6: Final answer
    x = 165.28

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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.