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Finding the Fourth Proportional to 163.84, 225.88 and 137.28

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Solution

The fourth proportional to 163.84, 225.88 and 137.28 is: 189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.84 : 225.88 = 137.28 : x
  2. Step 2: Convert to fraction form
    163.84/225.88 = 137.28/x
  3. Step 3: Cross multiply
    163.84x = 225.88 × 137.28
  4. Step 4: Simplify right side
    163.84x = 31,008.81
  5. Step 5: Solve for x
    x = 31,008.81/163.84
  6. Step 6: Final answer
    x = 189.26

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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.