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Finding the Fourth Proportional to 225.60, 311.05 and 190.57

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Solution

The fourth proportional to 225.60, 311.05 and 190.57 is: 262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 311.05 = 190.57 : x
  2. Step 2: Convert to fraction form
    225.60/311.05 = 190.57/x
  3. Step 3: Cross multiply
    225.60x = 311.05 × 190.57
  4. Step 4: Simplify right side
    225.60x = 59,274.29
  5. Step 5: Solve for x
    x = 59,274.29/225.60
  6. Step 6: Final answer
    x = 262.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.