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Finding the Fourth Proportional to 227.63, 341.36 and 118.00

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Solution

The fourth proportional to 227.63, 341.36 and 118.00 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.63 : 341.36 = 118.00 : x
  2. Step 2: Convert to fraction form
    227.63/341.36 = 118.00/x
  3. Step 3: Cross multiply
    227.63x = 341.36 × 118.00
  4. Step 4: Simplify right side
    227.63x = 40,279.97
  5. Step 5: Solve for x
    x = 40,279.97/227.63
  6. Step 6: Final answer
    x = 176.96

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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.