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Finding the Fourth Proportional to 163.84, 225.76 and 156.56

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Solution

The fourth proportional to 163.84, 225.76 and 156.56 is: 215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.84 : 225.76 = 156.56 : x
  2. Step 2: Convert to fraction form
    163.84/225.76 = 156.56/x
  3. Step 3: Cross multiply
    163.84x = 225.76 × 156.56
  4. Step 4: Simplify right side
    163.84x = 35,344.99
  5. Step 5: Solve for x
    x = 35,344.99/163.84
  6. Step 6: Final answer
    x = 215.73

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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.