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Finding the Fourth Proportional to 227.08, 340.76 and 118.93

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Solution

The fourth proportional to 227.08, 340.76 and 118.93 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 340.76 = 118.93 : x
  2. Step 2: Convert to fraction form
    227.08/340.76 = 118.93/x
  3. Step 3: Cross multiply
    227.08x = 340.76 × 118.93
  4. Step 4: Simplify right side
    227.08x = 40,525.99
  5. Step 5: Solve for x
    x = 40,525.99/227.08
  6. Step 6: Final answer
    x = 178.47

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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.