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Finding the Fourth Proportional to 163.41, 243.84 and 145.20

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Solution

The fourth proportional to 163.41, 243.84 and 145.20 is: 216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.41 : 243.84 = 145.20 : x
  2. Step 2: Convert to fraction form
    163.41/243.84 = 145.20/x
  3. Step 3: Cross multiply
    163.41x = 243.84 × 145.20
  4. Step 4: Simplify right side
    163.41x = 35,405.57
  5. Step 5: Solve for x
    x = 35,405.57/163.41
  6. Step 6: Final answer
    x = 216.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.