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Finding the Fourth Proportional to 210.24, 289.29 and 161.10

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Solution

The fourth proportional to 210.24, 289.29 and 161.10 is: 221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 289.29 = 161.10 : x
  2. Step 2: Convert to fraction form
    210.24/289.29 = 161.10/x
  3. Step 3: Cross multiply
    210.24x = 289.29 × 161.10
  4. Step 4: Simplify right side
    210.24x = 46,604.62
  5. Step 5: Solve for x
    x = 46,604.62/210.24
  6. Step 6: Final answer
    x = 221.67

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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.