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Finding the Fourth Proportional to 226.50, 340.00 and 203.51

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Solution

The fourth proportional to 226.50, 340.00 and 203.51 is: 305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 340.00 = 203.51 : x
  2. Step 2: Convert to fraction form
    226.50/340.00 = 203.51/x
  3. Step 3: Cross multiply
    226.50x = 340.00 × 203.51
  4. Step 4: Simplify right side
    226.50x = 69,193.74
  5. Step 5: Solve for x
    x = 69,193.74/226.50
  6. Step 6: Final answer
    x = 305.50

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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.