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Finding the Fourth Proportional to 225.33, 310.77 and 137.94

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Solution

The fourth proportional to 225.33, 310.77 and 137.94 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.33 : 310.77 = 137.94 : x
  2. Step 2: Convert to fraction form
    225.33/310.77 = 137.94/x
  3. Step 3: Cross multiply
    225.33x = 310.77 × 137.94
  4. Step 4: Simplify right side
    225.33x = 42,867.61
  5. Step 5: Solve for x
    x = 42,867.61/225.33
  6. Step 6: Final answer
    x = 190.24

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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.