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Finding the Fourth Proportional to 354.51, 531.50 and 226.53

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Solution

The fourth proportional to 354.51, 531.50 and 226.53 is: 339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.51 : 531.50 = 226.53 : x
  2. Step 2: Convert to fraction form
    354.51/531.50 = 226.53/x
  3. Step 3: Cross multiply
    354.51x = 531.50 × 226.53
  4. Step 4: Simplify right side
    354.51x = 120,399.56
  5. Step 5: Solve for x
    x = 120,399.56/354.51
  6. Step 6: Final answer
    x = 339.62

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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.