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Finding the Fourth Proportional to 151.84, 227.94 and 151.18

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Solution

The fourth proportional to 151.84, 227.94 and 151.18 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.84 : 227.94 = 151.18 : x
  2. Step 2: Convert to fraction form
    151.84/227.94 = 151.18/x
  3. Step 3: Cross multiply
    151.84x = 227.94 × 151.18
  4. Step 4: Simplify right side
    151.84x = 34,459.97
  5. Step 5: Solve for x
    x = 34,459.97/151.84
  6. Step 6: Final answer
    x = 226.95

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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.