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Finding the Fourth Proportional to 227.70, 341.91 and 179.82

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Solution

The fourth proportional to 227.70, 341.91 and 179.82 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 341.91 = 179.82 : x
  2. Step 2: Convert to fraction form
    227.70/341.91 = 179.82/x
  3. Step 3: Cross multiply
    227.70x = 341.91 × 179.82
  4. Step 4: Simplify right side
    227.70x = 61,482.26
  5. Step 5: Solve for x
    x = 61,482.26/227.70
  6. Step 6: Final answer
    x = 270.01

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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.