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Finding the Fourth Proportional to 227.30, 340.32 and 145.94

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Solution

The fourth proportional to 227.30, 340.32 and 145.94 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.30 : 340.32 = 145.94 : x
  2. Step 2: Convert to fraction form
    227.30/340.32 = 145.94/x
  3. Step 3: Cross multiply
    227.30x = 340.32 × 145.94
  4. Step 4: Simplify right side
    227.30x = 49,666.30
  5. Step 5: Solve for x
    x = 49,666.30/227.30
  6. Step 6: Final answer
    x = 218.51

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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.