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Finding the Fourth Proportional to 163.68, 245.70 and 161.34

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Solution

The fourth proportional to 163.68, 245.70 and 161.34 is: 242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.68 : 245.70 = 161.34 : x
  2. Step 2: Convert to fraction form
    163.68/245.70 = 161.34/x
  3. Step 3: Cross multiply
    163.68x = 245.70 × 161.34
  4. Step 4: Simplify right side
    163.68x = 39,641.24
  5. Step 5: Solve for x
    x = 39,641.24/163.68
  6. Step 6: Final answer
    x = 242.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.