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Finding the Fourth Proportional to 163.78, 225.88 and 98.28

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Solution

The fourth proportional to 163.78, 225.88 and 98.28 is: 135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 225.88 = 98.28 : x
  2. Step 2: Convert to fraction form
    163.78/225.88 = 98.28/x
  3. Step 3: Cross multiply
    163.78x = 225.88 × 98.28
  4. Step 4: Simplify right side
    163.78x = 22,199.24
  5. Step 5: Solve for x
    x = 22,199.24/163.78
  6. Step 6: Final answer
    x = 135.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.