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Finding the Fourth Proportional to 225.87, 339.02 and 123.25

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Solution

The fourth proportional to 225.87, 339.02 and 123.25 is: 184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 339.02 = 123.25 : x
  2. Step 2: Convert to fraction form
    225.87/339.02 = 123.25/x
  3. Step 3: Cross multiply
    225.87x = 339.02 × 123.25
  4. Step 4: Simplify right side
    225.87x = 41,784.22
  5. Step 5: Solve for x
    x = 41,784.22/225.87
  6. Step 6: Final answer
    x = 184.99

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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.