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Finding the Fourth Proportional to 250.54, 374.81 and 216.67

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Solution

The fourth proportional to 250.54, 374.81 and 216.67 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.54 : 374.81 = 216.67 : x
  2. Step 2: Convert to fraction form
    250.54/374.81 = 216.67/x
  3. Step 3: Cross multiply
    250.54x = 374.81 × 216.67
  4. Step 4: Simplify right side
    250.54x = 81,210.08
  5. Step 5: Solve for x
    x = 81,210.08/250.54
  6. Step 6: Final answer
    x = 324.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.