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Finding the Fourth Proportional to 151.76, 227.49 and 78.67

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Solution

The fourth proportional to 151.76, 227.49 and 78.67 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.76 : 227.49 = 78.67 : x
  2. Step 2: Convert to fraction form
    151.76/227.49 = 78.67/x
  3. Step 3: Cross multiply
    151.76x = 227.49 × 78.67
  4. Step 4: Simplify right side
    151.76x = 17,896.63
  5. Step 5: Solve for x
    x = 17,896.63/151.76
  6. Step 6: Final answer
    x = 117.93

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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.