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Finding the Fourth Proportional to 225.40, 340.27 and 224.20

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Solution

The fourth proportional to 225.40, 340.27 and 224.20 is: 338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 340.27 = 224.20 : x
  2. Step 2: Convert to fraction form
    225.40/340.27 = 224.20/x
  3. Step 3: Cross multiply
    225.40x = 340.27 × 224.20
  4. Step 4: Simplify right side
    225.40x = 76,288.53
  5. Step 5: Solve for x
    x = 76,288.53/225.40
  6. Step 6: Final answer
    x = 338.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.