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Finding the Fourth Proportional to 284.73, 427.25 and 154.73

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Solution

The fourth proportional to 284.73, 427.25 and 154.73 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.73 : 427.25 = 154.73 : x
  2. Step 2: Convert to fraction form
    284.73/427.25 = 154.73/x
  3. Step 3: Cross multiply
    284.73x = 427.25 × 154.73
  4. Step 4: Simplify right side
    284.73x = 66,105.48
  5. Step 5: Solve for x
    x = 66,105.48/284.73
  6. Step 6: Final answer
    x = 232.17

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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.