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Finding the Fourth Proportional to 225.12, 339.12 and 191.68

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Solution

The fourth proportional to 225.12, 339.12 and 191.68 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 339.12 = 191.68 : x
  2. Step 2: Convert to fraction form
    225.12/339.12 = 191.68/x
  3. Step 3: Cross multiply
    225.12x = 339.12 × 191.68
  4. Step 4: Simplify right side
    225.12x = 65,002.52
  5. Step 5: Solve for x
    x = 65,002.52/225.12
  6. Step 6: Final answer
    x = 288.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.