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Finding the Fourth Proportional to 226.53, 339.93 and 208.71

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Solution

The fourth proportional to 226.53, 339.93 and 208.71 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 339.93 = 208.71 : x
  2. Step 2: Convert to fraction form
    226.53/339.93 = 208.71/x
  3. Step 3: Cross multiply
    226.53x = 339.93 × 208.71
  4. Step 4: Simplify right side
    226.53x = 70,946.79
  5. Step 5: Solve for x
    x = 70,946.79/226.53
  6. Step 6: Final answer
    x = 313.19

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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.