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Finding the Fourth Proportional to 163.20, 245 and 133

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Solution

The fourth proportional to 163.20, 245 and 133 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 245 = 133 : x
  2. Step 2: Convert to fraction form
    163.20/245 = 133/x
  3. Step 3: Cross multiply
    163.20x = 245 × 133
  4. Step 4: Simplify right side
    163.20x = 32,585
  5. Step 5: Solve for x
    x = 32,585/163.20
  6. Step 6: Final answer
    x = 199.66

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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.