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Finding the Fourth Proportional to 227.84, 341.52 and 106

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Solution

The fourth proportional to 227.84, 341.52 and 106 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 341.52 = 106 : x
  2. Step 2: Convert to fraction form
    227.84/341.52 = 106/x
  3. Step 3: Cross multiply
    227.84x = 341.52 × 106
  4. Step 4: Simplify right side
    227.84x = 36,201.12
  5. Step 5: Solve for x
    x = 36,201.12/227.84
  6. Step 6: Final answer
    x = 158.89

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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.