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Finding the Fourth Proportional to 178.44, 267.57 and 91.81

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Solution

The fourth proportional to 178.44, 267.57 and 91.81 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 267.57 = 91.81 : x
  2. Step 2: Convert to fraction form
    178.44/267.57 = 91.81/x
  3. Step 3: Cross multiply
    178.44x = 267.57 × 91.81
  4. Step 4: Simplify right side
    178.44x = 24,565.14
  5. Step 5: Solve for x
    x = 24,565.14/178.44
  6. Step 6: Final answer
    x = 137.67

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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.