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Finding the Fourth Proportional to 151.76, 227.36 and 119.45

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Solution

The fourth proportional to 151.76, 227.36 and 119.45 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.76 : 227.36 = 119.45 : x
  2. Step 2: Convert to fraction form
    151.76/227.36 = 119.45/x
  3. Step 3: Cross multiply
    151.76x = 227.36 × 119.45
  4. Step 4: Simplify right side
    151.76x = 27,159.02
  5. Step 5: Solve for x
    x = 27,159.02/151.76
  6. Step 6: Final answer
    x = 178.96

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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.