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Finding the Fourth Proportional to 210.14, 289.63 and 163.67

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Solution

The fourth proportional to 210.14, 289.63 and 163.67 is: 225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.14 : 289.63 = 163.67 : x
  2. Step 2: Convert to fraction form
    210.14/289.63 = 163.67/x
  3. Step 3: Cross multiply
    210.14x = 289.63 × 163.67
  4. Step 4: Simplify right side
    210.14x = 47,403.21
  5. Step 5: Solve for x
    x = 47,403.21/210.14
  6. Step 6: Final answer
    x = 225.57

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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.