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Finding the Fourth Proportional to 225.51, 311.17 and 137.04

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Solution

The fourth proportional to 225.51, 311.17 and 137.04 is: 189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.51 : 311.17 = 137.04 : x
  2. Step 2: Convert to fraction form
    225.51/311.17 = 137.04/x
  3. Step 3: Cross multiply
    225.51x = 311.17 × 137.04
  4. Step 4: Simplify right side
    225.51x = 42,642.05
  5. Step 5: Solve for x
    x = 42,642.05/225.51
  6. Step 6: Final answer
    x = 189.09

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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.