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Finding the Fourth Proportional to 213.71, 320.72 and 172.67

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Solution

The fourth proportional to 213.71, 320.72 and 172.67 is: 259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 320.72 = 172.67 : x
  2. Step 2: Convert to fraction form
    213.71/320.72 = 172.67/x
  3. Step 3: Cross multiply
    213.71x = 320.72 × 172.67
  4. Step 4: Simplify right side
    213.71x = 55,379.96
  5. Step 5: Solve for x
    x = 55,379.96/213.71
  6. Step 6: Final answer
    x = 259.14

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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.