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Finding the Fourth Proportional to 225.41, 311.01 and 138.02

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Solution

The fourth proportional to 225.41, 311.01 and 138.02 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.41 : 311.01 = 138.02 : x
  2. Step 2: Convert to fraction form
    225.41/311.01 = 138.02/x
  3. Step 3: Cross multiply
    225.41x = 311.01 × 138.02
  4. Step 4: Simplify right side
    225.41x = 42,925.60
  5. Step 5: Solve for x
    x = 42,925.60/225.41
  6. Step 6: Final answer
    x = 190.43

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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.