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Finding the Fourth Proportional to 226.53, 339.60 and 82.35

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Solution

The fourth proportional to 226.53, 339.60 and 82.35 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 339.60 = 82.35 : x
  2. Step 2: Convert to fraction form
    226.53/339.60 = 82.35/x
  3. Step 3: Cross multiply
    226.53x = 339.60 × 82.35
  4. Step 4: Simplify right side
    226.53x = 27,966.06
  5. Step 5: Solve for x
    x = 27,966.06/226.53
  6. Step 6: Final answer
    x = 123.45

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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.