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Finding the Fourth Proportional to 226.97, 340.76 and 118.83

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Solution

The fourth proportional to 226.97, 340.76 and 118.83 is: 178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 340.76 = 118.83 : x
  2. Step 2: Convert to fraction form
    226.97/340.76 = 118.83/x
  3. Step 3: Cross multiply
    226.97x = 340.76 × 118.83
  4. Step 4: Simplify right side
    226.97x = 40,492.51
  5. Step 5: Solve for x
    x = 40,492.51/226.97
  6. Step 6: Final answer
    x = 178.40

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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.