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Finding the Fourth Proportional to 225.64, 339.02 and 195.72

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Solution

The fourth proportional to 225.64, 339.02 and 195.72 is: 294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.64 : 339.02 = 195.72 : x
  2. Step 2: Convert to fraction form
    225.64/339.02 = 195.72/x
  3. Step 3: Cross multiply
    225.64x = 339.02 × 195.72
  4. Step 4: Simplify right side
    225.64x = 66,352.99
  5. Step 5: Solve for x
    x = 66,352.99/225.64
  6. Step 6: Final answer
    x = 294.07

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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.