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Finding the Fourth Proportional to 178.81, 268.16 and 76.09

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Solution

The fourth proportional to 178.81, 268.16 and 76.09 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 268.16 = 76.09 : x
  2. Step 2: Convert to fraction form
    178.81/268.16 = 76.09/x
  3. Step 3: Cross multiply
    178.81x = 268.16 × 76.09
  4. Step 4: Simplify right side
    178.81x = 20,403.24
  5. Step 5: Solve for x
    x = 20,403.24/178.81
  6. Step 6: Final answer
    x = 114.11

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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.